Librairies

library(ggplot2)
library(corrplot)
library(kernlab)
library(dplyr) 
library(ade4)
library(ROCR)
library(caret)
library(DescTools)
library(imbalance)
library(rpart)
library(e1071)
library(randomForest)
library(pROC)
library(explor)
#setwd("~/Documents/IMT Atlantique/2A/S4B1/H - Analyse des données de santé - épidémiologie et aide à la décision/Stroke") ### chemin a changer ici
#getwd()

Analyse du jeu donnée

data <- read.csv("healthcare-dataset-stroke-data.csv", header=TRUE, sep=",")
head(data)
str(data)
'data.frame':   5110 obs. of  12 variables:
 $ id               : int  9046 51676 31112 60182 1665 56669 53882 10434 27419 60491 ...
 $ gender           : chr  "Male" "Female" "Male" "Female" ...
 $ age              : num  67 61 80 49 79 81 74 69 59 78 ...
 $ hypertension     : int  0 0 0 0 1 0 1 0 0 0 ...
 $ heart_disease    : int  1 0 1 0 0 0 1 0 0 0 ...
 $ ever_married     : chr  "Yes" "Yes" "Yes" "Yes" ...
 $ work_type        : chr  "Private" "Self-employed" "Private" "Private" ...
 $ Residence_type   : chr  "Urban" "Rural" "Rural" "Urban" ...
 $ avg_glucose_level: num  229 202 106 171 174 ...
 $ bmi              : chr  "36.6" "N/A" "32.5" "34.4" ...
 $ smoking_status   : chr  "formerly smoked" "never smoked" "never smoked" "smokes" ...
 $ stroke           : int  1 1 1 1 1 1 1 1 1 1 ...
data_format <- data
str(data_format)
'data.frame':   5110 obs. of  12 variables:
 $ id               : int  9046 51676 31112 60182 1665 56669 53882 10434 27419 60491 ...
 $ gender           : chr  "Male" "Female" "Male" "Female" ...
 $ age              : num  67 61 80 49 79 81 74 69 59 78 ...
 $ hypertension     : int  0 0 0 0 1 0 1 0 0 0 ...
 $ heart_disease    : int  1 0 1 0 0 0 1 0 0 0 ...
 $ ever_married     : chr  "Yes" "Yes" "Yes" "Yes" ...
 $ work_type        : chr  "Private" "Self-employed" "Private" "Private" ...
 $ Residence_type   : chr  "Urban" "Rural" "Rural" "Urban" ...
 $ avg_glucose_level: num  229 202 106 171 174 ...
 $ bmi              : chr  "36.6" "N/A" "32.5" "34.4" ...
 $ smoking_status   : chr  "formerly smoked" "never smoked" "never smoked" "smokes" ...
 $ stroke           : int  1 1 1 1 1 1 1 1 1 1 ...
nrow(data_format)
[1] 5110
# supprime id
data_format<- data_format[,-c(1)]
# conversion de bmi chr en num
data_format$bmi <- suppressWarnings(as.numeric(data_format$bmi))
# supprime le cas ou genre = other (une fois)
data_format<-data_format[!(data_format$gender=="Other"),]
data_format<-data_format[!(data_format$smoking_status=="Unknown"),]
# assemble deux facteur d'un attribut en un (pas assez nombreux pour deux)
data_format$work_type[data_format$work_type == "children" | data_format$work_type == "Never_worked"] <- "never_worked" 
# conversion chr en facteur
data_format <- as.data.frame(unclass(data_format), stringsAsFactors = TRUE)
# supprime les na
data_format <- na.omit(data_format)
# les binaires (hypertension, heart_disease et stroke) en facteur
data_format$hypertension <- factor(as.factor(data_format$hypertension),labels=c("htN","htP"))
data_format$heart_disease <- factor(as.factor(data_format$heart_disease),labels=c("hdN","hdP"))
data_format$stroke <- factor(as.factor(data_format$stroke),labels=c("avcN","avcP"))
# change les labels qui ne sont pas utilisables en R
data_format$work_type <- factor(as.factor(data_format$work_type),labels=c("never_worked","govt_job","private","self_employed"))
data_format$smoking_status <- factor(as.factor(data_format$smoking_status),labels=c("formerly","never","smokes"))

str(data_format)
'data.frame':   3425 obs. of  11 variables:
 $ gender           : Factor w/ 2 levels "Female","Male": 2 2 1 1 2 2 1 1 1 1 ...
 $ age              : num  67 80 49 79 81 74 69 81 61 54 ...
 $ hypertension     : Factor w/ 2 levels "htN","htP": 1 1 1 2 1 2 1 2 1 1 ...
 $ heart_disease    : Factor w/ 2 levels "hdN","hdP": 2 2 1 1 1 2 1 1 2 1 ...
 $ ever_married     : Factor w/ 2 levels "No","Yes": 2 2 2 2 2 2 1 2 2 2 ...
 $ work_type        : Factor w/ 4 levels "never_worked",..: 3 3 3 4 3 3 3 3 1 3 ...
 $ Residence_type   : Factor w/ 2 levels "Rural","Urban": 2 1 2 1 2 1 2 1 1 2 ...
 $ avg_glucose_level: num  229 106 171 174 186 ...
 $ bmi              : num  36.6 32.5 34.4 24 29 27.4 22.8 29.7 36.8 27.3 ...
 $ smoking_status   : Factor w/ 3 levels "formerly","never",..: 1 2 3 2 1 2 2 2 3 3 ...
 $ stroke           : Factor w/ 2 levels "avcN","avcP": 2 2 2 2 2 2 2 2 2 2 ...
 - attr(*, "na.action")= 'omit' Named int [1:140] 2 24 36 42 45 48 59 67 85 92 ...
  ..- attr(*, "names")= chr [1:140] "2" "24" "36" "42" ...
nrow(data_format)
[1] 3425

Variable - Age

# Variable - Age
# Cree un data set avec AVc = 0 et un autre = 1
avc0 <- subset(data_format, stroke == 0)
avc1 <- subset(data_format, stroke == 1)

# Plot hist age avc = 0
ggplot(avc0, aes(x=age)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(0, 85, by = 5) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des âges des non AVCs") + theme(plot.title = element_text(hjust = 0.5))


# Plot hist age avc = 1
ggplot(avc1, aes(x=age)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(0, 85, by = 5) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des âges des AVCs") + theme(plot.title = element_text(hjust = 0.5))


# Plot hist et densité age avc 
ggplot(data_format, aes(x=age, color =stroke, fill = stroke)) +
   geom_histogram(aes(y =..density..),position="identity", alpha=0.2, breaks=seq(0, 85, by = 5) )+
  geom_density(alpha=0.2) + 
  ggtitle("Histogramme des âges en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))


# boxPlot age
ggplot(data_format, aes(x=stroke, y=age, color=stroke)) + 
  geom_boxplot() + 
  ggtitle("Boxplot des âges en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

# Regroupement selon plusieurs groupes d'âges

#table(data_format$stroke, data_format$age)
data_format$ageQ <- cut(data_format$age, 
                         breaks = c(-Inf
                                    ,29,49,64
                                    , Inf), 
                         
                         labels = c("inf_30"
                                    ,"31_50","51_65","65_inf"
                                    ),
                         right = FALSE)


stroke_age <- as.data.frame(table(data_format$stroke, data_format$ageQ))
stroke_age

# conversion de ageQ chr en num
data_format$ageQ <- suppressWarnings(as.factor(data_format$ageQ))

# dataframe de classe d'age en fonction d'avc
ageQ <- as.data.frame(table(data_format$ageQ, data_format$stroke))
colnames(ageQ) <- c('Classe_age','AVC','Fréquence')

# calcul pourcentage avc par classe d'age
ageQ_inf_30_avc <- (ageQ$Fréquence[ageQ$Classe_age =="inf_30" & ageQ$AVC == "avcP"] / sum(ageQ$Fréquence[ageQ$Classe_age =="inf_30"]))*100
ageQ_31_50_avc <- (ageQ$Fréquence[ageQ$Classe_age =="31_50" & ageQ$AVC == "avcP"] / sum(ageQ$Fréquence[ageQ$Classe_age =="31_50"]))*100
ageQ_51_65_avc <- (ageQ$Fréquence[ageQ$Classe_age =="51_65" & ageQ$AVC == "avcP"] / sum(ageQ$Fréquence[ageQ$Classe_age =="51_65"]))*100
ageQ_65_inf_avc <- (ageQ$Fréquence[ageQ$Classe_age =="65_inf" & ageQ$AVC == "avcP"] / sum(ageQ$Fréquence[ageQ$Classe_age =="65_inf"]))*100
print(paste("Pourcentage de inf_30 AVC : " ,round(ageQ_inf_30_avc,2),"%"))
[1] "Pourcentage de inf_30 AVC :  0 %"
print(paste("Pourcentage de 31_50 AVC : " ,round(ageQ_31_50_avc,2),"%"))
[1] "Pourcentage de 31_50 AVC :  1.15 %"
print(paste("Pourcentage de 51_65 AVC : " ,round(ageQ_51_65_avc,2),"%"))
[1] "Pourcentage de 51_65 AVC :  5.29 %"
print(paste("Pourcentage de 65_inf AVC : " ,round(ageQ_65_inf_avc,2),"%"))
[1] "Pourcentage de 65_inf AVC :  14.25 %"
# plot hist par classe d'age
ggplot(ageQ, aes(x = Classe_age, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") + 
        ggtitle("Classe d'age en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - Genre

# Variable - Genre
# dataframe de genre en fonction d'avc
gender <- as.data.frame(table(data_format$gender, data_format$stroke))
colnames(gender) <- c('Genre','AVC','Fréquence')
head(gender)

# calcul pourcentage avc par genre
femme_avc <- (gender$Fréquence[gender$Genre =="Female" & gender$AVC == "avcP"] / sum(gender$Fréquence[gender$Genre =="Female"]))*100
homme_avc <- (gender$Fréquence[gender$Genre =="Male" & gender$AVC == "avcP"] / sum(gender$Fréquence[gender$Genre =="Male"]))*100
print(paste("Pourcentage de femme AVC : " ,round(femme_avc,2),"%"))
[1] "Pourcentage de femme AVC :  5.03 %"
print(paste("Pourcentage de homme AVC : " ,round(homme_avc,2),"%"))
[1] "Pourcentage de homme AVC :  5.6 %"
# plot hist genre
ggplot(gender, aes(x = Genre, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") + 
        ggtitle("Genre en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - Hypertension

# Variable - Hypertension
# dataframe de hypertension en fonction d'avc
hypertension <- as.data.frame(table(data_format$hypertension, data_format$stroke))
colnames(hypertension) <- c('Hypertension','AVC','Fréquence')
head(hypertension)

# calcul pourcentage avc par hypertension
hypertention0_avc <- (hypertension$Fréquence[hypertension$Hypertension == "htN" & hypertension$AVC == "avcP"] / sum(hypertension$Fréquence[hypertension$Hypertension == "htN"]))*100
hypertention1_avc <- (hypertension$Fréquence[hypertension$Hypertension == "htP" & hypertension$AVC == "avcP"] / sum(hypertension$Fréquence[hypertension$Hypertension == "htP"]))*100
print(paste("Pourcentage de hypertension 0 AVC : " ,round(hypertention0_avc,2),"%"))
[1] "Pourcentage de hypertension 0 AVC :  4.08 %"
print(paste("Pourcentage de hypertension 1 AVC : " ,round(hypertention1_avc,2),"%"))
[1] "Pourcentage de hypertension 1 AVC :  13.97 %"
# plot hist hypertension
ggplot(hypertension, aes(x = Hypertension, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Hypertension en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - Maladie cardiaque

# Variable - Maladie cardiaque
# dataframe de Maladie cardiaque en fonction d'avc
maladie_cardiaque <- as.data.frame(table(data_format$heart_disease, data_format$stroke))
colnames(maladie_cardiaque) <- c('Maladie_cardiaque','AVC','Fréquence')
head(maladie_cardiaque)

# calcul pourcentage avc par Maladie cardiaque
maladie_cardiaque0 <- (maladie_cardiaque$Fréquence[maladie_cardiaque$Maladie_cardiaque == "hdN" & maladie_cardiaque$AVC == "avcP"] / sum(maladie_cardiaque$Fréquence[maladie_cardiaque$Maladie_cardiaque == "hdN"]))*100
maladie_cardiaque1 <- (maladie_cardiaque$Fréquence[maladie_cardiaque$Maladie_cardiaque == "hdP" & maladie_cardiaque$AVC == "avcP"] / sum(maladie_cardiaque$Fréquence[maladie_cardiaque$Maladie_cardiaque == "hdP"]))*100
print(paste("Pourcentage de maladie cardiaque 0 AVC : " ,round(maladie_cardiaque0,2),"%"))
[1] "Pourcentage de maladie cardiaque 0 AVC :  4.47 %"
print(paste("Pourcentage de maladie cardiaque 1 AVC : " ,round(maladie_cardiaque1,2),"%"))
[1] "Pourcentage de maladie cardiaque 1 AVC :  17.48 %"
# plot hist Maladie cardiaque
ggplot(maladie_cardiaque, aes(x = Maladie_cardiaque, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Maladie cardiaque en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - Mariage

# Variable - Mariage
# dataframe de Mariage en fonction d'avc
mariage <- as.data.frame(table(data_format$ever_married, data_format$stroke))
colnames(mariage) <- c('Mariage','AVC','Fréquence')
head(mariage)

# calcul pourcentage avc par Mariage
mariage_no <- (mariage$Fréquence[mariage$Mariage =="No" & mariage$AVC == "avcP"] / sum(mariage$Fréquence[mariage$Mariage =="No"]))*100
mariage_yes <- (mariage$Fréquence[mariage$Mariage =="Yes" & mariage$AVC == "avcP"] / sum(mariage$Fréquence[mariage$Mariage =="Yes"]))*100
print(paste("Pourcentage de pas marié AVC : " ,round(mariage_no,2),"%"))
[1] "Pourcentage de pas marié AVC :  2.42 %"
print(paste("Pourcentage de marié AVC : " ,round(mariage_yes,2),"%"))
[1] "Pourcentage de marié AVC :  6.16 %"
# plot hist Mariage
ggplot(mariage, aes(x = Mariage, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Ayant eu un mariage en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - Travail

# Variable - Travail
# dataframe de Travail en fonction d'avc
type_travail <- as.data.frame(table(data_format$work_type, data_format$stroke))
colnames(type_travail) <- c('Type_travail','AVC','Fréquence')
head(type_travail)

# calcul pourcentage avc par Travail
gouvernement_job_avc <- (type_travail$Fréquence[type_travail$Type_travail =="govt_job" & type_travail$AVC == "avcP"] / sum(type_travail$Fréquence[type_travail$Type_travail =="govt_job"]))*100

pas_travail_avc <- (type_travail$Fréquence[type_travail$Type_travail =="never_worked" & type_travail$AVC == "avcP"] / sum(type_travail$Fréquence[type_travail$Type_travail =="never_worked" ]))*100

prive_avc <- (type_travail$Fréquence[type_travail$Type_travail =="private" & type_travail$AVC == "avcP"] / sum(type_travail$Fréquence[type_travail$Type_travail =="private"]))*100

independant_avc <- (type_travail$Fréquence[type_travail$Type_travail =="self_employed" & type_travail$AVC == "avcP"] / sum(type_travail$Fréquence[type_travail$Type_travail =="self_employed"]))*100

print(paste("Pourcentage de job gouvernement AVC : " ,round(gouvernement_job_avc,2),"%"))
[1] "Pourcentage de job gouvernement AVC :  0 %"
print(paste("Pourcentage de pas de travail AVC : " ,round(pas_travail_avc,2),"%"))
[1] "Pourcentage de pas de travail AVC :  4.47 %"
print(paste("Pourcentage de job privé AVC : " ,round(prive_avc,2),"%"))
[1] "Pourcentage de job privé AVC :  4.95 %"
print(paste("Pourcentage de indépendant AVC : " ,round(independant_avc,2),"%"))
[1] "Pourcentage de indépendant AVC :  7.63 %"
# plot hist Travail
ggplot(type_travail, aes(x = Type_travail, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Type de travail en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - Résidence

# Variable - Résidence
# dataframe de Résidence en fonction d'avc
type_residence <- as.data.frame(table(data_format$Residence_type, data_format$stroke))
colnames(type_residence) <- c('Type_residence','AVC','Fréquence')
head(type_residence)

# calcul pourcentage avc par Résidence
rural_avc <- (type_residence$Fréquence[type_residence$Type_residence =="Rural" & type_residence$AVC == "avcP"] / sum(type_residence$Fréquence[type_residence$Type_residence =="Rural"]))*100
urbain_avc <- (type_residence$Fréquence[type_residence$Type_residence =="Urban" & type_residence$AVC == "avcP"] / sum(type_residence$Fréquence[type_residence$Type_residence =="Urban"]))*100
print(paste("Pourcentage de rural AVC : " ,round(rural_avc,2),"%"))
[1] "Pourcentage de rural AVC :  5.12 %"
print(paste("Pourcentage de urbain AVC : " ,round(urbain_avc),"%"))
[1] "Pourcentage de urbain AVC :  5 %"
# plot hist Résidence
ggplot(type_residence, aes(x = Type_residence, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Type de résidence en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - Niveau glucose

# Variable - Niveau glucose
min(avc0$avg_glucose_level)
Warning in min(avc0$avg_glucose_level) :
  no non-missing arguments to min; returning Inf
[1] Inf
max(avc0$avg_glucose_level)
Warning in max(avc0$avg_glucose_level) :
  no non-missing arguments to max; returning -Inf
[1] -Inf
min(avc1$avg_glucose_level)
Warning in min(avc1$avg_glucose_level) :
  no non-missing arguments to min; returning Inf
[1] Inf
max(avc1$avg_glucose_level)
Warning in max(avc1$avg_glucose_level) :
  no non-missing arguments to max; returning -Inf
[1] -Inf
# Plot hist avg_glucose_level avc = 0
ggplot(avc0, aes(x=avg_glucose_level)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(55, 275, by = 10) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des niveaux de glucose des non AVCs") + theme(plot.title = element_text(hjust = 0.5))


# Plot hist avg_glucose_level avc = 1
ggplot(avc1, aes(x=avg_glucose_level)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(55, 275, by = 10) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des niveaux de glucose des AVCs") + theme(plot.title = element_text(hjust = 0.5))


# Plot hist et densité avg_glucose_level avc 
ggplot(data_format, aes(x=avg_glucose_level, color =stroke, fill = stroke)) +
   geom_histogram(aes(y =..density..),position="identity", alpha=0.2, breaks=seq(55, 275, by = 10) )+
  geom_density(alpha=0.2) + 
  ggtitle("Histogramme des niveaux de glucose en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))


# boxPlot avg_glucose_level
ggplot(data_format, aes(x=stroke, y=avg_glucose_level, color=stroke)) + 
  geom_boxplot() + 
  ggtitle("Boxplot des niveaux de glucose en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

# Regroupement selon les niveaux de glucose
#summary(data_format$avg_glucose_level)
data_format$glucoseQ <- cut(data_format$avg_glucose_level, 
                         breaks = c(-Inf
                                    ,69, 99,125
                                    , Inf), 
                         
                         labels = c("inf_69", "70_100"
                                    ,"101_126","127_inf"
                                    ),
                         right = FALSE)

stroke_glc <- as.data.frame(table(data_format$stroke, data_format$glucoseQ))
stroke_glc

# conversion de glucoseQ chr en num
data_format$glucoseQ <- suppressWarnings(as.factor(data_format$glucoseQ))


# dataframe de classe glucose en fonction d'avc
glucoseQ <- as.data.frame(table(data_format$glucoseQ, data_format$stroke))
colnames(glucoseQ) <- c('Classe_glucose','AVC','Fréquence')

# calcul pourcentage avc par classe de glucose
glucoseQ_inf_69_avc <- (glucoseQ$Fréquence[glucoseQ$Classe_glucose =="inf_69" & glucoseQ$AVC == "avcP"] / sum(glucoseQ$Fréquence[glucoseQ$Classe_glucose =="inf_69"]))*100
glucoseQ_70_100_avc <- (glucoseQ$Fréquence[glucoseQ$Classe_glucose =="70_100" & glucoseQ$AVC == "avcP"] / sum(glucoseQ$Fréquence[glucoseQ$Classe_glucose =="70_100"]))*100
glucoseQ_101_126_avc <- (glucoseQ$Fréquence[glucoseQ$Classe_glucose =="101_126" & glucoseQ$AVC == "avcP"] / sum(glucoseQ$Fréquence[glucoseQ$Classe_glucose =="101_126"]))*100
glucoseQ_127_inf_avc <- (glucoseQ$Fréquence[glucoseQ$Classe_glucose =="127_inf" & glucoseQ$AVC == "avcP"] / sum(glucoseQ$Fréquence[glucoseQ$Classe_glucose =="127_inf"]))*100
print(paste("Pourcentage de inf_69 AVC : " ,round(glucoseQ_inf_69_avc,2),"%"))
[1] "Pourcentage de inf_69 AVC :  3.5 %"
print(paste("Pourcentage de 70_100 AVC : " ,round(glucoseQ_70_100_avc,2),"%"))
[1] "Pourcentage de 70_100 AVC :  3.85 %"
print(paste("Pourcentage de 101_126 AVC : " ,round(glucoseQ_101_126_avc,2),"%"))
[1] "Pourcentage de 101_126 AVC :  3.94 %"
print(paste("Pourcentage de 127_inf AVC : " ,round(glucoseQ_127_inf_avc,2),"%"))
[1] "Pourcentage de 127_inf AVC :  10.62 %"
# plot hist par classe de glucose
ggplot(glucoseQ, aes(x = Classe_glucose, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") + 
        ggtitle("Classe de niveau de glucose en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0) 

Variable - IMC

# Variable - IMC
min(avc0$bmi)
Warning in min(avc0$bmi) :
  no non-missing arguments to min; returning Inf
[1] Inf
max(avc0$bmi)
Warning in max(avc0$bmi) :
  no non-missing arguments to max; returning -Inf
[1] -Inf
min(avc1$bmi)
Warning in min(avc1$bmi) :
  no non-missing arguments to min; returning Inf
[1] Inf
max(avc1$bmi)
Warning in max(avc1$bmi) :
  no non-missing arguments to max; returning -Inf
[1] -Inf
# Plot hist IMC avc = 0
ggplot(avc0, aes(x=bmi)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(10, 100, by = 5) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des IMC des non AVCs") + theme(plot.title = element_text(hjust = 0.5))


# Plot hist IMC avc = 1
ggplot(avc1, aes(x=bmi)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(10, 100, by = 5) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des IMC des AVCs") + theme(plot.title = element_text(hjust = 0.5))


# Plot hist et densité IMC avc 
ggplot(data_format, aes(x=bmi, color =stroke, fill = stroke)) +
   geom_histogram(aes(y =..density..),position="identity", alpha=0.2, breaks=seq(10, 100, by = 5) )+
  geom_density(alpha=0.2) + 
  ggtitle("Histogramme des IMC en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))


# boxPlot IMC
ggplot(data_format, aes(x=stroke, y=bmi, color=stroke)) + 
  geom_boxplot() + 
  ggtitle("Boxplot des IMC en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

# Regroupement selon les groupes d'IMC

#summary(data_format$bmi)
data_format$bmiQ <- cut(data_format$bmi, 
                         breaks = c(-Inf
                                    ,24.9, 29.9, 34.9
                                    , Inf), 
                         
                         labels = c("inf_25"
                                    ,"25_30","30_35",
                                    "35_inf"
                                    ),
                         right = FALSE)

stroke_bmi <- as.data.frame(table(data_format$stroke, data_format$bmiQ))
#stroke_bmi

# conversion de bmiQ chr en num
data_format$bmiQ <- suppressWarnings(as.factor(data_format$bmiQ))
#data_format$bmiQ

# dataframe de classe imc en fonction d'avc
bmiQ <- as.data.frame(table(data_format$bmiQ, data_format$stroke))
colnames(bmiQ) <- c('Classe_IMC','AVC','Fréquence')
head(bmiQ)

# calcul pourcentage avc par classe d'imc
bmiQ_inf_25_avc <- (bmiQ$Fréquence[bmiQ$Classe_IMC =="inf_25" & bmiQ$AVC == "avcP"] / sum(bmiQ$Fréquence[bmiQ$Classe_IMC =="inf_25"]))*100
bmiQ_25_30_avc <- (bmiQ$Fréquence[bmiQ$Classe_IMC =="25_30" & bmiQ$AVC == "avcP"] / sum(bmiQ$Fréquence[bmiQ$Classe_IMC =="25_30"]))*100
bmiQ_30_35_avc <- (bmiQ$Fréquence[bmiQ$Classe_IMC =="30_35" & bmiQ$AVC == "avcP"] / sum(bmiQ$Fréquence[bmiQ$Classe_IMC =="30_35"]))*100
bmiQ_35_inf_avc <- (bmiQ$Fréquence[bmiQ$Classe_IMC =="35_inf" & bmiQ$AVC == "avcP"] / sum(bmiQ$Fréquence[bmiQ$Classe_IMC =="35_inf"]))*100
print(paste("Pourcentage de inf_25 AVC : " ,round(bmiQ_inf_25_avc,2),"%"))
[1] "Pourcentage de inf_25 AVC :  3.87 %"
print(paste("Pourcentage de 25_30 AVC : " ,round(bmiQ_25_30_avc,2),"%"))
[1] "Pourcentage de 25_30 AVC :  5.59 %"
print(paste("Pourcentage de 30_35 AVC : " ,round(bmiQ_30_35_avc,2),"%"))
[1] "Pourcentage de 30_35 AVC :  6.38 %"
print(paste("Pourcentage de 35_inf AVC : " ,round(bmiQ_35_inf_avc,2),"%"))
[1] "Pourcentage de 35_inf AVC :  5.01 %"
# plot hist par classe d'imc
ggplot(bmiQ, aes(x = Classe_IMC, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") + 
        ggtitle("Classe de niveau d'IMC en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - Fumeur

# Variable - Fumeur
# dataframe de Fumeur en fonction d'avc
fumeur <- as.data.frame(table(data_format$smoking_status, data_format$stroke))
colnames(fumeur) <- c('Statut_fumeur','AVC','Fréquence')
head(fumeur)

# calcul pourcentage avc par Fumeur
ancien_fumeur_avc <- (fumeur$Fréquence[fumeur$Statut_fumeur =="formerly" & fumeur$AVC == "avcP"] / sum(fumeur$Fréquence[fumeur$Statut_fumeur =="formerly"]))*100
non_fumeur_avc <- (fumeur$Fréquence[fumeur$Statut_fumeur =="never" & fumeur$AVC == "avcP"] / sum(fumeur$Fréquence[fumeur$Statut_fumeur =="never"]))*100
fumeur_avc <- (fumeur$Fréquence[fumeur$Statut_fumeur =="smokes" & fumeur$AVC == "avcP"] / sum(fumeur$Fréquence[fumeur$Statut_fumeur =="smokes"]))*100
print(paste("Pourcentage de ancien fumeur AVC : " ,round(ancien_fumeur_avc,2),"%"))
[1] "Pourcentage de ancien fumeur AVC :  6.82 %"
print(paste("Pourcentage de non fumeur AVC : " ,round(non_fumeur_avc,2),"%"))
[1] "Pourcentage de non fumeur AVC :  4.54 %"
print(paste("Pourcentage de fumeur AVC : " ,round(fumeur_avc,2),"%"))
[1] "Pourcentage de fumeur AVC :  5.29 %"
# plot hist Fumeur
ggplot(fumeur, aes(x = Statut_fumeur, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Statut fumeur en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

Variable - AVC

# Variable - AVC
# dataframe de AVC
avc <- as.data.frame(table( data_format$stroke))
colnames(avc) <- c('AVC','Fréquence')
head(avc)

# plot hist genre
ggplot(avc, aes(x = AVC, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Nombre d'AVC du jeu de donnée") + theme(plot.title = element_text(hjust = 0.5), legend.position="none")+
        geom_text(aes(label = Fréquence), vjust = 0)

Corrélation

# garde attr quanti
data_cor<- select(data_format,age,avg_glucose_level,bmi)
# calcul corrélation
M<-cor(data_cor)
# plot corrélation
corrplot(M, method="circle")

corrplot(M, method="color")

corrplot(M, method="number")

Variables - Corrélation

# plot IMC en fonction de age
ggplot(data_format, aes(x = age, y = bmi, colour = stroke)) + 
  geom_point(alpha=0.5)+
  ggtitle("IMC en fonction de l'âge et des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))


# plot niveau de glucose en fonction de age
ggplot(data_format, aes(x = age, y = avg_glucose_level, colour = stroke)) + 
  geom_point(alpha=0.5)+
  ggtitle("Niveau de glucose en fonction de l'âge et des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

Analyses avec la variable cible AVC.

Entre AVC et les variables quantitatives.

# avec age
var.test(age~stroke,data=data_format) # sous reserve d'hypothese de normalite des distributions des ages selon absence/presence d'AVC

    F test to compare two variances

data:  age by stroke
F = 2.4437, num df = 3244, denom df = 179, p-value = 0.000000000000552
alternative hypothesis: true ratio of variances is not equal to 1
95 percent confidence interval:
 1.953901 2.993932
sample estimates:
ratio of variances 
          2.443703 
t.test(age~stroke,var.equal=T,data=data_format)

    Two Sample t-test

data:  age by stroke
t = -14.622, df = 3423, p-value < 0.00000000000000022
alternative hypothesis: true difference in means between group avcN and group avcP is not equal to 0
95 percent confidence interval:
 -23.22533 -17.73324
sample estimates:
mean in group avcN mean in group avcP 
          47.57627           68.05556 
# difference signifcative ### => le risque augmente avec l'age

# avec NivGluc
var.test(avg_glucose_level~stroke,data=data_format) 

    F test to compare two variances

data:  avg_glucose_level by stroke
F = 0.53379, num df = 3244, denom df = 179, p-value = 0.0000000001614
alternative hypothesis: true ratio of variances is not equal to 1
95 percent confidence interval:
 0.4268002 0.6539792
sample estimates:
ratio of variances 
           0.53379 
t.test(avg_glucose_level~stroke,var.equal=T,data=data_format)

    Two Sample t-test

data:  avg_glucose_level by stroke
t = -8.3034, df = 3423, p-value < 0.00000000000000022
alternative hypothesis: true difference in means between group avcN and group avcP is not equal to 0
95 percent confidence interval:
 -37.12956 -22.94450
sample estimates:
mean in group avcN mean in group avcP 
          106.7331           136.7701 
# difference signifcative ####  => le risque augmente avec le niveau de glucose

# avec IMC
var.test(bmi~stroke,data=data_format) 

    F test to compare two variances

data:  bmi by stroke
F = 1.3545, num df = 3244, denom df = 179, p-value = 0.008306
alternative hypothesis: true ratio of variances is not equal to 1
95 percent confidence interval:
 1.083041 1.659526
sample estimates:
ratio of variances 
          1.354536 
t.test(bmi~stroke,var.equal=T,data=data_format)

    Two Sample t-test

data:  bmi by stroke
t = -0.67878, df = 3423, p-value = 0.4973
alternative hypothesis: true difference in means between group avcN and group avcP is not equal to 0
95 percent confidence interval:
 -1.4747016  0.7162065
sample estimates:
mean in group avcN mean in group avcP 
          30.27242           30.65167 
# difference non signifcative (discutable)  => le risque n'augmente pas significativement avec l'IMC

Entre stroke et les variables qualitatives.

# Genre
t <- chisq.test(data_format$gender,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals #===> les hommes ont plus de chance de faire un AVC que les femmes
                  data_format$stroke
data_format$gender       avcN       avcP
            Female  0.1041289 -0.4421224
            Male   -0.1299686  0.5518352
# Maladie cardiaque
t <- chisq.test(data_format$heart_disease,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les maladies cardiaques ont plus de chance d'etre associees avec la survenue d'un AVC
                         data_format$stroke
data_format$heart_disease       avcN       avcP
                      hdN  0.4558373 -1.9354457
                      hdP -1.8019252  7.6508179
# Mariage
t <- chisq.test(data_format$ever_married,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # => les personnes ayant deja ete mariees ont plus de chance de faire un AVC
                        data_format$stroke
data_format$ever_married       avcN       avcP
                     No   0.8368322 -3.5531168
                     Yes -0.4717645  2.0030711
# Travail
t <- chisq.test(data_format$work_type,data_format$stroke) #rejet de l'hypothese d'independance
Warning in chisq.test(data_format$work_type, data_format$stroke) :
  Chi-squared approximation may be incorrect
t$residuals # => les personnes self_employed ont plus de chance de faire un AVC
                     data_format$stroke
data_format$work_type       avcN       avcP
        never_worked   0.1818551 -0.7721411
        govt_job       0.4889245 -2.0759309
        private        0.1450101 -0.6157004
        self_employed -0.6121211  2.5990128
# Residence
t <- chisq.test(data_format$Residence_type,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals #==> les personnes vivant en milieu urbain ont plus de chance de faire un AVC
                          data_format$stroke
data_format$Residence_type        avcN        avcP
                     Rural  0.05744833 -0.24392060
                     Urban -0.05636822  0.23933455
# Fumeur
t <- chisq.test(data_format$smoking_status,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les personnes ayant deja fume ont plus de chance de faire un AVC
                          data_format$stroke
data_format$smoking_status        avcN        avcP
                  formerly -0.46419850  1.97094649
                  never     0.31825686 -1.35129097
                  smokes   -0.01010997  0.04292604
# age
t <- chisq.test(data_format$ageQ,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les personnes de plus de 65 ans ont plus de chance de faire un AVC
                data_format$stroke
data_format$ageQ        avcN        avcP
          inf_30  1.33242727 -5.65737036
          31_50   1.36198605 -5.78287437
          51_65  -0.01122133  0.04764479
          65_inf -2.65934496 11.29134751
# glucose
t <- chisq.test(data_format$glucoseQ,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les personnes ayant un niveau de glucose supérieur a 127 ont plus de chance de faire un AVC
                    data_format$stroke
data_format$glucoseQ       avcN       avcP
             inf_69   0.3853051 -1.6359721
             70_100   0.5683127 -2.4130062
             101_126  0.3550848 -1.5076590
             127_inf -1.4841544  6.3015906
# bmi
t <- chisq.test(data_format$bmiQ,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les personnes ayant un imc entre 30 et 35 ont plus de chance de faire un AVC
                data_format$stroke
data_format$bmiQ        avcN        avcP
          inf_25  0.39765899 -1.68842552
          25_30  -0.11392542  0.48371744
          30_35  -0.32742703  1.39022669
          35_inf  0.07044428 -0.29910030

Variables - Pourcentage AVC

print(paste("----------------------------------------------Genre------------------------------------------------- " ))
[1] "----------------------------------------------Genre------------------------------------------------- "
print(paste("Pourcentage de femme AVC : " ,round(femme_avc,2),"%"))
[1] "Pourcentage de femme AVC :  5.03 %"
print(paste("Pourcentage de homme AVC : " ,round(homme_avc,2),"%"))
[1] "Pourcentage de homme AVC :  5.6 %"
print(paste("----------------------------------------------Hypertension------------------------------------------------- " ))
[1] "----------------------------------------------Hypertension------------------------------------------------- "
print(paste("Pourcentage de hypertension AVC : " ,round(hypertention0_avc,2),"%"))
[1] "Pourcentage de hypertension AVC :  4.08 %"
print(paste("Pourcentage de hypertension AVC : " ,round(hypertention1_avc,2),"%"))
[1] "Pourcentage de hypertension AVC :  13.97 %"
print(paste("----------------------------------------------Maladie cardiaque------------------------------------------------- " ))
[1] "----------------------------------------------Maladie cardiaque------------------------------------------------- "
print(paste("Pourcentage de maladie cardiaque AVC : " ,round(maladie_cardiaque0,2),"%"))
[1] "Pourcentage de maladie cardiaque AVC :  4.47 %"
print(paste("Pourcentage de maladie cardiaque AVC : " ,round(maladie_cardiaque1,2),"%"))
[1] "Pourcentage de maladie cardiaque AVC :  17.48 %"
print(paste("----------------------------------------------Mariage------------------------------------------------- " ))
[1] "----------------------------------------------Mariage------------------------------------------------- "
print(paste("Pourcentage de pas marié AVC : " ,round(mariage_no,2),"%"))
[1] "Pourcentage de pas marié AVC :  2.42 %"
print(paste("Pourcentage de marié AVC : " ,round(mariage_yes,2),"%"))
[1] "Pourcentage de marié AVC :  6.16 %"
print(paste("----------------------------------------------Type Job------------------------------------------------- " ))
[1] "----------------------------------------------Type Job------------------------------------------------- "
print(paste("Pourcentage de job gouvernement AVC : " ,round(gouvernement_job_avc,2),"%"))
[1] "Pourcentage de job gouvernement AVC :  0 %"
print(paste("Pourcentage de pas de travail AVC : " ,round(pas_travail_avc,2),"%"))
[1] "Pourcentage de pas de travail AVC :  4.47 %"
print(paste("Pourcentage de job privé AVC : " ,round(prive_avc,2),"%"))
[1] "Pourcentage de job privé AVC :  4.95 %"
print(paste("Pourcentage de indépendant AVC : " ,round(independant_avc,2),"%"))
[1] "Pourcentage de indépendant AVC :  7.63 %"
print(paste("----------------------------------------------Type résidence------------------------------------------------- " ))
[1] "----------------------------------------------Type résidence------------------------------------------------- "
print(paste("Pourcentage de rural AVC : " ,round(rural_avc,2),"%"))
[1] "Pourcentage de rural AVC :  5.12 %"
print(paste("Pourcentage de urbain AVC : " ,round(urbain_avc),"%"))
[1] "Pourcentage de urbain AVC :  5 %"
print(paste("----------------------------------------------Status fumeur------------------------------------------------- " ))
[1] "----------------------------------------------Status fumeur------------------------------------------------- "
print(paste("Pourcentage de ancien fumeur AVC : " ,round(ancien_fumeur_avc,2),"%"))
[1] "Pourcentage de ancien fumeur AVC :  6.82 %"
print(paste("Pourcentage de non fumeur AVC : " ,round(non_fumeur_avc,2),"%"))
[1] "Pourcentage de non fumeur AVC :  4.54 %"
print(paste("Pourcentage de fumeur AVC : " ,round(fumeur_avc,2),"%"))
[1] "Pourcentage de fumeur AVC :  5.29 %"
print(paste("----------------------------------------------Classe d'age------------------------------------------------- " ))
[1] "----------------------------------------------Classe d'age------------------------------------------------- "
print(paste("Pourcentage de inf_30 AVC : " ,round(ageQ_inf_30_avc,2),"%"))
[1] "Pourcentage de inf_30 AVC :  0 %"
print(paste("Pourcentage de 31_50 AVC : " ,round(ageQ_31_50_avc,2),"%"))
[1] "Pourcentage de 31_50 AVC :  1.15 %"
print(paste("Pourcentage de 51_65 AVC : " ,round(ageQ_51_65_avc,2),"%"))
[1] "Pourcentage de 51_65 AVC :  5.29 %"
print(paste("Pourcentage de 65_inf AVC : " ,round(ageQ_65_inf_avc,2),"%"))
[1] "Pourcentage de 65_inf AVC :  14.25 %"
print(paste("----------------------------------------------Classe de glucose------------------------------------------------- " ))
[1] "----------------------------------------------Classe de glucose------------------------------------------------- "
print(paste("Pourcentage de inf_69 AVC : " ,round(glucoseQ_inf_69_avc,2),"%"))
[1] "Pourcentage de inf_69 AVC :  3.5 %"
print(paste("Pourcentage de 70_100 AVC : " ,round(glucoseQ_70_100_avc,2),"%"))
[1] "Pourcentage de 70_100 AVC :  3.85 %"
print(paste("Pourcentage de 101_126 AVC : " ,round(glucoseQ_101_126_avc,2),"%"))
[1] "Pourcentage de 101_126 AVC :  3.94 %"
print(paste("Pourcentage de 127_inf AVC : " ,round(glucoseQ_127_inf_avc,2),"%"))
[1] "Pourcentage de 127_inf AVC :  10.62 %"
print(paste("----------------------------------------------Classe d'IMC------------------------------------------------- " ))
[1] "----------------------------------------------Classe d'IMC------------------------------------------------- "
print(paste("Pourcentage de inf_25 AVC : " ,round(bmiQ_inf_25_avc,2),"%"))
[1] "Pourcentage de inf_25 AVC :  3.87 %"
print(paste("Pourcentage de 25_30 AVC : " ,round(bmiQ_25_30_avc,2),"%"))
[1] "Pourcentage de 25_30 AVC :  5.59 %"
print(paste("Pourcentage de 30_35 AVC : " ,round(bmiQ_30_35_avc,2),"%"))
[1] "Pourcentage de 30_35 AVC :  6.38 %"
print(paste("Pourcentage de 35_inf AVC : " ,round(bmiQ_35_inf_avc,2),"%"))
[1] "Pourcentage de 35_inf AVC :  5.01 %"

ANALYSE MULTIVARIEE

# selection des seules variables qualitatives pour l'AFCM
avcQ = data_format[,-c(2,8,9)]
summary(avcQ)
    gender     hypertension heart_disease ever_married         work_type    Residence_type  smoking_status  stroke         ageQ         glucoseQ        bmiQ     
 Female:2086   htN:3017     hdN:3219      No : 826     never_worked : 514   Rural:1680     formerly: 836   avcN:3245   inf_30: 609   inf_69 : 457   inf_25: 776  
 Male  :1339   htP: 408     hdP: 206      Yes:2599     govt_job     :  82   Urban:1745     never   :1852   avcP: 180   31_50 :1043   70_100 :1557   25_30 :1091  
                                                       private      :2200                  smokes  : 737               51_65 : 945   101_126: 686   30_35 : 799  
                                                       self_employed: 629                                              65_inf: 828   127_inf: 725   35_inf: 759  
quali <- avcQ[,-8]
var_sup <- avcQ[,c("stroke")]
acm <- dudi.acm(quali, scannf = FALSE, nf = 5)
acm$supv <- supcol(acm, dudi.acm(var_sup, scannf = FALSE, nf = 5)$tab)
#explor(acm)

Creation d’une variable motivée par l’étude exploratoire descriptive

# creation de la variable interaction entre age et hypertension
AgeHypertension=avcQ$ageQ:avcQ$hypertension
table(AgeHypertension,avcQ[,"stroke"])
               
AgeHypertension avcN avcP
     inf_30:htN  600    0
     inf_30:htP    9    0
     31_50:htN   984   11
     31_50:htP    47    1
     51_65:htN   755   36
     51_65:htP   140   14
     65_inf:htN  555   76
     65_inf:htP  155   42
# test de dependence avec la variable cible
t <- chisq.test(AgeHypertension,avcQ$stroke)
Warning in chisq.test(AgeHypertension, avcQ$stroke) :
  Chi-squared approximation may be incorrect
t$residuals
               avcQ$stroke
AgeHypertension       avcN       avcP
     inf_30:htN  1.3225451 -5.6154115
     inf_30:htP  0.1619780 -0.6877446
     31_50:htN   1.3448598 -5.7101578
     31_50:htP   0.2257855 -0.9586656
     51_65:htN   0.2034944 -0.8640196
     51_65:htP  -0.4889876  2.0761990
     65_inf:htN -1.7520117  7.4388893
     65_inf:htP -2.3164262  9.8353442
#avcQ2=data.frame(avcQ,"AgeHypertension"=AgeHypertension)
#summary(avcQ2)
#quali2 <- avcQ2[,-c(1,9,10)]
#var_sup2 <- avcQ2[,c("ageQ","stroke","hypertension")]
#acm2 <- dudi.acm(quali2, scannf = FALSE, nf = 5)
#acm2$supv <- supcol(acm2, dudi.acm(var_sup2, scannf = FALSE, nf = 5)$tab)

#explor(acm2)

Equilibrage du jeu de données

imbalanceRatio(as.data.frame(data_format), classAttr = "stroke")
[1] 0.05546995
stroke_test <- data_format %>%
mutate(
    stroke = as.character(stroke),
    across(where(is.factor), as.numeric),
    stroke = factor(stroke)
)

stroke_oversampled <- oversample(as.data.frame(stroke_test), classAttr = "stroke", ratio = 1, method = "MWMOTE")

str(stroke_oversampled)
'data.frame':   6490 obs. of  14 variables:
 $ gender           : num  2 2 1 1 2 2 1 1 1 1 ...
 $ age              : num  67 80 49 79 81 74 69 81 61 54 ...
 $ hypertension     : num  1 1 1 2 1 2 1 2 1 1 ...
 $ heart_disease    : num  2 2 1 1 1 2 1 1 2 1 ...
 $ ever_married     : num  2 2 2 2 2 2 1 2 2 2 ...
 $ work_type        : num  3 3 3 4 3 3 3 3 1 3 ...
 $ Residence_type   : num  2 1 2 1 2 1 2 1 1 2 ...
 $ avg_glucose_level: num  229 106 171 174 186 ...
 $ bmi              : num  36.6 32.5 34.4 24 29 27.4 22.8 29.7 36.8 27.3 ...
 $ smoking_status   : num  1 2 3 2 1 2 2 2 3 3 ...
 $ stroke           : Factor w/ 2 levels "avcN","avcP": 2 2 2 2 2 2 2 2 2 2 ...
 $ ageQ             : num  4 4 3 4 4 4 4 4 3 3 ...
 $ glucoseQ         : num  4 3 4 4 4 2 2 2 3 3 ...
 $ bmiQ             : num  4 3 3 1 2 2 1 2 4 2 ...
 - attr(*, "na.action")= 'omit' Named int [1:140] 2 24 36 42 45 48 59 67 85 92 ...
  ..- attr(*, "names")= chr [1:140] "2" "24" "36" "42" ...
stroke_oversampled %>%
group_by(stroke) %>%
summarize(n = n()) %>%
mutate(prop = round(n / sum(n), 2))
for ( i in 1:ncol(data_format)) { 
  if(is.factor(data_format[,i])){
    
    stroke_oversampled[,i] <- factor(as.integer(stroke_oversampled[,i]),labels=c(levels(data_format[,i])))
  }
}
str(stroke_oversampled)
'data.frame':   6490 obs. of  14 variables:
 $ gender           : Factor w/ 2 levels "Female","Male": 2 2 1 1 2 2 1 1 1 1 ...
 $ age              : num  67 80 49 79 81 74 69 81 61 54 ...
 $ hypertension     : Factor w/ 2 levels "htN","htP": 1 1 1 2 1 2 1 2 1 1 ...
 $ heart_disease    : Factor w/ 2 levels "hdN","hdP": 2 2 1 1 1 2 1 1 2 1 ...
 $ ever_married     : Factor w/ 2 levels "No","Yes": 2 2 2 2 2 2 1 2 2 2 ...
 $ work_type        : Factor w/ 4 levels "never_worked",..: 3 3 3 4 3 3 3 3 1 3 ...
 $ Residence_type   : Factor w/ 2 levels "Rural","Urban": 2 1 2 1 2 1 2 1 1 2 ...
 $ avg_glucose_level: num  229 106 171 174 186 ...
 $ bmi              : num  36.6 32.5 34.4 24 29 27.4 22.8 29.7 36.8 27.3 ...
 $ smoking_status   : Factor w/ 3 levels "formerly","never",..: 1 2 3 2 1 2 2 2 3 3 ...
 $ stroke           : Factor w/ 2 levels "avcN","avcP": 2 2 2 2 2 2 2 2 2 2 ...
 $ ageQ             : Factor w/ 4 levels "inf_30","31_50",..: 4 4 3 4 4 4 4 4 3 3 ...
 $ glucoseQ         : Factor w/ 4 levels "inf_69","70_100",..: 4 3 4 4 4 2 2 2 3 3 ...
 $ bmiQ             : Factor w/ 4 levels "inf_25","25_30",..: 4 3 3 1 2 2 1 2 4 2 ...
 - attr(*, "na.action")= 'omit' Named int [1:140] 2 24 36 42 45 48 59 67 85 92 ...
  ..- attr(*, "names")= chr [1:140] "2" "24" "36" "42" ...
data_format_undersample <- data_format %>% 
  group_by(stroke) %>% 
  sample_n(180)
table(data_format_undersample$stroke)

avcN avcP 
 180  180 

Training/Test

set.seed(42)
### APPRENTISSAGE SUPERVISE

# objectif double : 
## Prédire efficacement la présence (ou l’absence) d’un AVC (variable ‘stroke’)
## à partir de nouvelles observations sur les variables explicatives

## Comprendre les facteurs influençant la présence d’une maladie coronarienne

# dataset avec meme attr de depart non équilibré
data_format_raw <- data_format[-c(12,13,14)]
# dataset avec meme attr de depart équilibré oversample
data_format_oversample_raw <- stroke_oversampled[-c(12,13,14)]
# data avec que variable qualitatif équilibré oversample
data_format_oversample_quali <- stroke_oversampled[-c(2,8,9)]
# dataset avec meme attr de depart équilibré undersample
data_format_undersample_raw <- data_format_undersample[-c(12,13,14)]


# separation echantillons apprentissage / test dataset non équilibré de départ

df_sampling_index <- createDataPartition(data_format_raw$stroke, times = 1, p = 0.7, list = FALSE)

df_training_unbalanced <- data_format_raw[df_sampling_index, ]
df_testing_unbalanced <-  data_format_raw[-df_sampling_index, ]

# separation echantillons apprentissage / test dataset équilibré de depart oversample

df_sampling_index <- createDataPartition(data_format_oversample_raw$stroke, times = 1, p = 0.7, list = FALSE)

df_training_over <- data_format_oversample_raw[df_sampling_index, ]
df_testing_over <-  data_format_oversample_raw[-df_sampling_index, ]

# separation echantillons apprentissage / test dataset équilibré variable qualitatif oversample

df_sampling_index <- createDataPartition(data_format_oversample_quali$stroke, times = 1, p = 0.7, list = FALSE)

df_training_over_quali <- data_format_oversample_quali[df_sampling_index, ]
df_testing_over_quali <-  data_format_oversample_quali[-df_sampling_index, ]


# separation echantillons apprentissage / test dataset équilibré de depart undersample

df_sampling_index <- createDataPartition(data_format_undersample_raw$stroke, times = 1, p = 0.7, list = FALSE)

df_training_under <- data_format_undersample_raw[df_sampling_index, ]
df_testing_under <-  data_format_undersample_raw[-df_sampling_index, ]


### PHASE D APRENTISSAGE

## 1) On lance les algorithmes avec les parametres par defaut
## 2) On optimise les parametres de complexite par CV V-5

### on definit le cadre general de l'optimisation des parametres de complexite dans la fonction trainControl (a utiliser dans la fonciton train du package caret)
df_control <- trainControl(method="cv", #validation croisee
                           number = 5,  # 5 folds (selon le nombre de donnees on peut mettre plus)
                           classProbs = TRUE,
                           summaryFunction = twoClassSummary) # on est dans un cas de classification binaire

Comparaison dataset

dataset de départ

print("SVM")
[1] "SVM"
# apprentissage
model_svm_unbalanced=svm(stroke~., data=df_training_unbalanced, cost=0.5, kernel="linear")     

# prediction 
prediction_svm_unbalanced <- predict(model_svm_unbalanced, df_testing_unbalanced)

# matrice de confusion
matconfus_svm_unbalanced <- table(prediction_svm_unbalanced, df_testing_unbalanced$stroke)
matconfus_svm_unbalanced
                         
prediction_svm_unbalanced avcN avcP
                     avcN  973   54
                     avcP    0    0
# calcul de l'erreur de prediction
err_svm_unbalanced <- 1-(sum(diag(matconfus_svm_unbalanced)) / sum(matconfus_svm_unbalanced))
err_svm_unbalanced*100
[1] 5.258033
# kappa / sensibilité / spécificité
kappa_svm_unbalanced <- CohenKappa(matconfus_svm_unbalanced)
sensitivity_svm_unbalanced <- sensitivity(prediction_svm_unbalanced, df_testing_unbalanced$stroke)
specificity_svm_unbalanced <- specificity(prediction_svm_unbalanced, df_testing_unbalanced$stroke)

print("Random forest")
[1] "Random forest"
# apprentissage
model_rf_unbalanced <- train(stroke ~., 
                data = df_training_unbalanced, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

# prediction 
prediction_rf_unbalanced <- predict(model_rf_unbalanced, df_testing_unbalanced)

# matrice de confusion
matconfus_rf_unbalanced <- table(prediction_rf_unbalanced, df_testing_unbalanced$stroke)
matconfus_rf_unbalanced
                        
prediction_rf_unbalanced avcN avcP
                    avcN  966   49
                    avcP    7    5
# calcul de l'erreur de prediction
err_rf_unbalanced <- 1-(sum(diag(matconfus_rf_unbalanced)) / sum(matconfus_rf_unbalanced))
err_rf_unbalanced*100
[1] 5.452775
# kappa / sensibilité / spécificité
kappa_rf_unbalanced <- CohenKappa(matconfus_rf_unbalanced)
sensitivity_rf_unbalanced <- sensitivity(prediction_rf_unbalanced, df_testing_unbalanced$stroke)
specificity_rf_unbalanced <- specificity(prediction_rf_unbalanced, df_testing_unbalanced$stroke)

dataset de départ avec oversample

print("SVM")
[1] "SVM"
# apprentissage
model_svm_over=svm(stroke~., data=df_training_over, cost=0.5, kernel="linear")     

# prediction 
prediction_svm_over <- predict(model_svm_over, df_testing_over)

# matrice de confusion
matconfus_svm_over <- table(prediction_svm_over, df_testing_over$stroke)
matconfus_svm_over
                   
prediction_svm_over avcN avcP
               avcN  799  148
               avcP  174  825
# calcul de l'erreur de prediction
err_svm_over <- 1-(sum(diag(matconfus_svm_over)) / sum(matconfus_svm_over))
err_svm_over*100
[1] 16.54676
# kappa / sensibilité / spécificité
kappa_svm_over <- CohenKappa(matconfus_svm_over)
sensitivity_svm_over <- sensitivity(prediction_svm_over, df_testing_over$stroke)
specificity_svm_over <- specificity(prediction_svm_over, df_testing_over$stroke)

print("Random forest")
[1] "Random forest"
# apprentissage
model_rf_over <- train(stroke ~., 
                data = df_training_over, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

# prediction 
prediction_rf_over <- predict(model_rf_over, df_testing_over)

# matrice de confusion
matconfus_rf_over <- table(prediction_rf_over, df_testing_over$stroke)
matconfus_rf_over
                  
prediction_rf_over avcN avcP
              avcN  847   70
              avcP  126  903
# calcul de l'erreur de prediction
err_rf_over <- 1-(sum(diag(matconfus_rf_over)) / sum(matconfus_rf_over))
err_rf_over*100
[1] 10.07194
# kappa / sensibilité / spécificité
kappa_rf_over <- CohenKappa(matconfus_rf_over)
sensitivity_rf_over <- sensitivity(prediction_rf_over, df_testing_over$stroke)
specificity_rf_over <- specificity(prediction_rf_over, df_testing_over$stroke)

dataset avec variables qualitatives et oversample

print("SVM")
[1] "SVM"
# apprentissage
model_svm_over_quali=svm(stroke~., data=df_training_over_quali, cost=0.5, kernel="linear")     

# prediction 
prediction_svm_over_quali <- predict(model_svm_over_quali, df_testing_over_quali)

# matrice de confusion
matconfus_svm_over_quali <- table(prediction_svm_over_quali, df_testing_over_quali$stroke)
matconfus_svm_over_quali
                         
prediction_svm_over_quali avcN avcP
                     avcN  747  132
                     avcP  226  841
# calcul de l'erreur de prediction
err_svm_over_quali <- 1-(sum(diag(matconfus_svm_over_quali)) / sum(matconfus_svm_over_quali))
err_svm_over_quali*100
[1] 18.39671
# kappa / sensibilité / spécificité
kappa_svm_over_quali <- CohenKappa(matconfus_svm_over_quali)
sensitivity_svm_over_quali <- sensitivity(prediction_svm_over_quali, df_testing_over_quali$stroke)
specificity_svm_over_quali <- specificity(prediction_svm_over_quali, df_testing_over_quali$stroke)

print("Random forest")
[1] "Random forest"
# apprentissage
model_rf_over_quali <- train(stroke ~., 
                data = df_training_over_quali, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

# prediction 
prediction_rf_over_quali <- predict(model_rf_over_quali, df_testing_over_quali)

# matrice de confusion
matconfus_rf_over_quali <- table(prediction_rf_over_quali, df_testing_over_quali$stroke)
matconfus_rf_over_quali
                        
prediction_rf_over_quali avcN avcP
                    avcN  797  120
                    avcP  176  853
# calcul de l'erreur de prediction
err_rf_over_quali <- 1-(sum(diag(matconfus_rf_over_quali)) / sum(matconfus_rf_over_quali))
err_rf_over_quali*100
[1] 15.21069
# kappa / sensibilité / spécificité
kappa_rf_over_quali <- CohenKappa(matconfus_rf_over_quali)
sensitivity_rf_over_quali <- sensitivity(prediction_rf_over_quali, df_testing_over_quali$stroke)
specificity_rf_over_quali <- specificity(prediction_rf_over_quali, df_testing_over_quali$stroke)

dataset avec variables départ et undersample

print("SVM")
[1] "SVM"
# apprentissage
model_svm_under=svm(stroke~., data=df_training_under, cost=0.5, kernel="linear")     

# prediction 
prediction_svm_under <- predict(model_svm_under, df_testing_under)

# matrice de confusion
matconfus_svm_under <- table(prediction_svm_under, df_testing_under$stroke)
matconfus_svm_under
                    
prediction_svm_under avcN avcP
                avcN   38    8
                avcP   16   46
# calcul de l'erreur de prediction
err_svm_under <- 1-(sum(diag(matconfus_svm_under)) / sum(matconfus_svm_under))
err_svm_under*100
[1] 22.22222
# kappa / sensibilité / spécificité
kappa_svm_under <- CohenKappa(matconfus_svm_under)
sensitivity_svm_under <- sensitivity(prediction_svm_under, df_testing_under$stroke)
specificity_svm_under <- specificity(prediction_svm_under, df_testing_under$stroke)

print("Random forest")
[1] "Random forest"
# apprentissage
model_rf_under <- train(stroke ~., 
                data = df_training_under, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

# prediction 
prediction_rf_under <- predict(model_rf_under, df_testing_under)

# matrice de confusion
matconfus_rf_under <- table(prediction_rf_under, df_testing_under$stroke)
matconfus_rf_under
                   
prediction_rf_under avcN avcP
               avcN   36    7
               avcP   18   47
# calcul de l'erreur de prediction
err_rf_under <- 1-(sum(diag(matconfus_rf_under)) / sum(matconfus_rf_under))
err_rf_under*100
[1] 23.14815
# kappa / sensibilité / spécificité
kappa_rf_under <- CohenKappa(matconfus_rf_under)
sensitivity_rf_under <- sensitivity(prediction_rf_under, df_testing_under$stroke)
specificity_rf_under <- specificity(prediction_rf_under, df_testing_under$stroke)

Comparaison des dataset

Methode <- c("svm unbalanced","rf unbalanced","svm oversample","rf oversample","svm oversample quali","rf oversample quali","svm undersample","rf undersample")
Erreur <- c(round(err_svm_unbalanced*100,2),
            round(err_rf_unbalanced*100,2),
            round(err_svm_over*100,2),
            round(err_rf_over*100,2),
            round(err_svm_over_quali*100,2),
            round(err_rf_over_quali*100,2),
            round(err_svm_under*100,2),
            round(err_rf_under*100,2)
            )
Kappa <- c(round(kappa_svm_unbalanced,2),
           round(kappa_rf_unbalanced,2),
           round(kappa_svm_over,2),
           round(kappa_rf_over,2),
           round(kappa_svm_over_quali,2),
           round(kappa_rf_over_quali,2),
           round(kappa_svm_under,2),
           round(kappa_rf_under,2)
           )
Sensibilité <- c(round(sensitivity_svm_unbalanced,2),
            round(sensitivity_rf_unbalanced,2),
            round(sensitivity_svm_over,2),
            round(sensitivity_rf_over,2),
            round(sensitivity_svm_over_quali,2),
            round(sensitivity_rf_over_quali,2),
            round(sensitivity_svm_under,2),
            round(sensitivity_rf_under,2)
            )
Specificité <- c(round(specificity_svm_unbalanced,2),
            round(specificity_rf_unbalanced,2),
            round(specificity_svm_over,2),
            round(specificity_rf_over,2),
            round(specificity_svm_over_quali,2),
            round(specificity_rf_over_quali,2),
            round(specificity_svm_under,2),
            round(specificity_rf_under,2)
           )

dataset_compare <- data.frame(Methode, Erreur, Kappa, Sensibilité, Specificité)
dataset_compare

Entrainement des différents modèles

Regression logistique binaire

Sans optimisation

# apprentissage

model_glm <- glm(stroke ~., data=df_training_over, family=binomial(link="logit")) 
summary(model_glm)

Call:
glm(formula = stroke ~ ., family = binomial(link = "logit"), 
    data = df_training_over)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-3.1773  -0.4828   0.0041   0.5427   3.1212  

Coefficients:
                         Estimate Std. Error z value             Pr(>|z|)    
(Intercept)            -6.8709559  0.3648867 -18.830 < 0.0000000000000002 ***
genderMale             -1.0662707  0.0983015 -10.847 < 0.0000000000000002 ***
age                     0.1151189  0.0037834  30.427 < 0.0000000000000002 ***
hypertensionhtP        -0.7641718  0.1287053  -5.937       0.000000002896 ***
heart_diseasehdP       -0.7377832  0.1638703  -4.502       0.000006724129 ***
ever_marriedYes        -1.0965048  0.1316301  -8.330 < 0.0000000000000002 ***
work_typegovt_job       3.0327952  0.3393028   8.938 < 0.0000000000000002 ***
work_typeprivate        0.5822235  0.1282964   4.538       0.000005676031 ***
work_typeself_employed -0.9772790  0.1573056  -6.213       0.000000000521 ***
Residence_typeUrban    -0.7840599  0.0891975  -8.790 < 0.0000000000000002 ***
avg_glucose_level       0.0099685  0.0008479  11.757 < 0.0000000000000002 ***
bmi                     0.0079304  0.0075249   1.054             0.291936    
smoking_statusnever    -0.3544812  0.0957679  -3.701             0.000214 ***
smoking_statussmokes   -0.8333663  0.1456016  -5.724       0.000000010429 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 6299.3  on 4543  degrees of freedom
Residual deviance: 3365.3  on 4530  degrees of freedom
AIC: 3393.3

Number of Fisher Scoring iterations: 6
# prediction 
prediction_glm <- predict(model_glm, df_testing_over, type="response")
prediction_glm <- ifelse(prediction_glm<0.5,"avcN","avcP")

# matrice de confusion
matconfus_glm <- table(prediction_glm, df_testing_over$stroke)
matconfus_glm
              
prediction_glm avcN avcP
          avcN  803  154
          avcP  170  819
# calcul de l'erreur de prediction
err_glm <- 1-(sum(diag(matconfus_glm)) / sum(matconfus_glm))
err_glm*100
[1] 16.64954
# kappa / sensibilité / specificté
kappa_glm <- CohenKappa(matconfus_glm)
kappa_glm
[1] 0.6670092
sensitivity_glm <- sensitivity(factor(prediction_glm), df_testing_over$stroke)
sensitivity_glm
[1] 0.8252826
specificity_glm <- specificity(factor(prediction_glm), df_testing_over$stroke)
specificity_glm
[1] 0.8417266

Avec optimisation

# apprentissage et tuning
set.seed(42)
model_glm_tuned = train(stroke ~.,
                df_training_over,
                method = "glmStepAIC", ## selection forward par minimisation de l'AIC
                metric="ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)
Start:  AIC=2718.19
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    bmi + smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
- bmi                     1   2691.5 2717.5
<none>                        2690.2 2718.2
- smoking_statusnever     1   2698.9 2724.9
- heart_diseasehdP        1   2702.4 2728.4
- work_typeprivate        1   2712.6 2738.6
- hypertensionhtP         1   2712.7 2738.7
- work_typeself_employed  1   2718.1 2744.1
- smoking_statussmokes    1   2721.0 2747.0
- ever_marriedYes         1   2755.3 2781.3
- Residence_typeUrban     1   2758.8 2784.8
- work_typegovt_job       1   2775.2 2801.2
- genderMale              1   2782.2 2808.2
- avg_glucose_level       1   2809.0 2835.0
- age                     1   4014.0 4040.0

Step:  AIC=2717.45
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
<none>                        2691.5 2717.5
- smoking_statusnever     1   2700.2 2724.2
- heart_diseasehdP        1   2704.0 2728.0
- hypertensionhtP         1   2713.5 2737.5
- work_typeprivate        1   2714.2 2738.2
- work_typeself_employed  1   2719.3 2743.3
- smoking_statussmokes    1   2722.3 2746.3
- ever_marriedYes         1   2755.9 2779.9
- Residence_typeUrban     1   2759.9 2783.9
- work_typegovt_job       1   2775.7 2799.7
- genderMale              1   2783.8 2807.8
- avg_glucose_level       1   2827.1 2851.1
- age                     1   4029.8 4053.8
Start:  AIC=2727.64
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    bmi + smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
- bmi                     1   2700.9 2726.9
<none>                        2699.6 2727.6
- smoking_statusnever     1   2709.8 2735.8
- work_typeprivate        1   2718.9 2744.9
- heart_diseasehdP        1   2720.0 2746.0
- smoking_statussmokes    1   2720.7 2746.7
- work_typeself_employed  1   2724.1 2750.1
- hypertensionhtP         1   2729.3 2755.3
- ever_marriedYes         1   2766.6 2792.6
- Residence_typeUrban     1   2770.4 2796.4
- work_typegovt_job       1   2785.6 2811.6
- genderMale              1   2796.4 2822.4
- avg_glucose_level       1   2823.6 2849.6
- age                     1   4053.5 4079.5

Step:  AIC=2726.92
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
<none>                        2700.9 2726.9
- smoking_statusnever     1   2711.1 2735.1
- work_typeprivate        1   2720.5 2744.5
- heart_diseasehdP        1   2721.8 2745.8
- smoking_statussmokes    1   2721.9 2745.9
- work_typeself_employed  1   2725.3 2749.3
- hypertensionhtP         1   2730.0 2754.0
- ever_marriedYes         1   2767.0 2791.0
- Residence_typeUrban     1   2771.3 2795.3
- work_typegovt_job       1   2786.0 2810.0
- genderMale              1   2798.8 2822.8
- avg_glucose_level       1   2843.3 2867.3
- age                     1   4066.7 4090.7
Start:  AIC=2665.18
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    bmi + smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
- bmi                     1   2638.1 2664.1
<none>                        2637.2 2665.2
- work_typeprivate        1   2647.5 2673.5
- smoking_statusnever     1   2650.3 2676.3
- heart_diseasehdP        1   2657.0 2683.0
- smoking_statussmokes    1   2659.8 2685.8
- work_typeself_employed  1   2674.6 2700.6
- hypertensionhtP         1   2676.6 2702.6
- ever_marriedYes         1   2691.5 2717.5
- Residence_typeUrban     1   2700.3 2726.3
- work_typegovt_job       1   2709.0 2735.0
- genderMale              1   2733.9 2759.9
- avg_glucose_level       1   2766.5 2792.5
- age                     1   4018.8 4044.8

Step:  AIC=2664.12
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
<none>                        2638.1 2664.1
- work_typeprivate        1   2648.6 2672.6
- smoking_statusnever     1   2651.3 2675.3
- heart_diseasehdP        1   2658.3 2682.3
- smoking_statussmokes    1   2660.8 2684.8
- work_typeself_employed  1   2675.3 2699.3
- hypertensionhtP         1   2677.0 2701.0
- ever_marriedYes         1   2692.1 2716.1
- Residence_typeUrban     1   2701.0 2725.0
- work_typegovt_job       1   2709.3 2733.3
- genderMale              1   2735.2 2759.2
- avg_glucose_level       1   2784.8 2808.8
- age                     1   4034.4 4058.4
Start:  AIC=2712.47
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    bmi + smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
- bmi                     1   2685.0 2711.0
<none>                        2684.5 2712.5
- smoking_statusnever     1   2694.9 2720.9
- work_typeprivate        1   2703.0 2729.0
- heart_diseasehdP        1   2703.2 2729.2
- hypertensionhtP         1   2708.8 2734.8
- smoking_statussmokes    1   2714.7 2740.7
- work_typeself_employed  1   2719.5 2745.5
- ever_marriedYes         1   2735.8 2761.8
- Residence_typeUrban     1   2738.7 2764.7
- work_typegovt_job       1   2772.7 2798.7
- genderMale              1   2788.4 2814.4
- avg_glucose_level       1   2792.4 2818.4
- age                     1   4029.9 4055.9

Step:  AIC=2711
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
<none>                        2685.0 2711.0
- smoking_statusnever     1   2695.5 2719.5
- work_typeprivate        1   2703.6 2727.6
- heart_diseasehdP        1   2703.9 2727.9
- hypertensionhtP         1   2709.1 2733.1
- smoking_statussmokes    1   2715.3 2739.3
- work_typeself_employed  1   2720.1 2744.1
- ever_marriedYes         1   2736.0 2760.0
- Residence_typeUrban     1   2739.3 2763.3
- work_typegovt_job       1   2772.7 2796.7
- genderMale              1   2789.6 2813.6
- avg_glucose_level       1   2809.0 2833.0
- age                     1   4048.3 4072.3
Start:  AIC=2766.67
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    bmi + smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
- bmi                     1   2739.3 2765.3
<none>                        2738.7 2766.7
- heart_diseasehdP        1   2748.4 2774.4
- smoking_statusnever     1   2751.6 2777.6
- work_typeprivate        1   2752.5 2778.5
- hypertensionhtP         1   2765.0 2791.0
- smoking_statussmokes    1   2769.9 2795.9
- work_typeself_employed  1   2770.9 2796.9
- Residence_typeUrban     1   2796.0 2822.0
- ever_marriedYes         1   2798.8 2824.8
- work_typegovt_job       1   2824.9 2850.9
- genderMale              1   2839.9 2865.9
- avg_glucose_level       1   2851.8 2877.8
- age                     1   4036.8 4062.8

Step:  AIC=2765.29
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
<none>                        2739.3 2765.3
- heart_diseasehdP        1   2749.2 2773.2
- smoking_statusnever     1   2752.2 2776.2
- work_typeprivate        1   2753.3 2777.3
- hypertensionhtP         1   2765.2 2789.2
- smoking_statussmokes    1   2770.7 2794.7
- work_typeself_employed  1   2771.4 2795.4
- Residence_typeUrban     1   2796.4 2820.4
- ever_marriedYes         1   2798.9 2822.9
- work_typegovt_job       1   2825.1 2849.1
- genderMale              1   2840.8 2864.8
- avg_glucose_level       1   2865.9 2889.9
- age                     1   4050.8 4074.8
Start:  AIC=3393.33
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    bmi + smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
- bmi                     1   3366.4 3392.4
<none>                        3365.3 3393.3
- smoking_statusnever     1   3379.1 3405.1
- heart_diseasehdP        1   3385.2 3411.2
- work_typeprivate        1   3386.0 3412.0
- smoking_statussmokes    1   3399.1 3425.1
- hypertensionhtP         1   3400.5 3426.5
- work_typeself_employed  1   3404.4 3430.4
- ever_marriedYes         1   3439.5 3465.5
- Residence_typeUrban     1   3443.8 3469.8
- work_typegovt_job       1   3469.7 3495.7
- genderMale              1   3488.1 3514.1
- avg_glucose_level       1   3513.4 3539.4
- age                     1   5040.9 5066.9

Step:  AIC=3392.44
.outcome ~ genderMale + age + hypertensionhtP + heart_diseasehdP + 
    ever_marriedYes + work_typegovt_job + work_typeprivate + 
    work_typeself_employed + Residence_typeUrban + avg_glucose_level + 
    smoking_statusnever + smoking_statussmokes

                         Df Deviance    AIC
<none>                        3366.4 3392.4
- smoking_statusnever     1   3380.2 3404.2
- heart_diseasehdP        1   3386.6 3410.6
- work_typeprivate        1   3387.4 3411.4
- smoking_statussmokes    1   3400.2 3424.2
- hypertensionhtP         1   3401.0 3425.0
- work_typeself_employed  1   3405.4 3429.4
- ever_marriedYes         1   3439.9 3463.9
- Residence_typeUrban     1   3444.7 3468.7
- work_typegovt_job       1   3470.1 3494.1
- genderMale              1   3489.8 3513.8
- avg_glucose_level       1   3534.9 3558.9
- age                     1   5060.2 5084.2
summary(model_glm_tuned$finalModel)

Call:
NULL

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-3.1941  -0.4831   0.0043   0.5404   3.1156  

Coefficients:
                       Estimate Std. Error z value             Pr(>|z|)    
(Intercept)            -0.10620    0.04610  -2.303             0.021254 *  
genderMale             -0.48971    0.04504 -10.874 < 0.0000000000000002 ***
age                     2.12686    0.06906  30.799 < 0.0000000000000002 ***
hypertensionhtP        -0.24161    0.04106  -5.885       0.000000003985 ***
heart_diseasehdP       -0.19141    0.04213  -4.543       0.000005544759 ***
ever_marriedYes        -0.45106    0.05432  -8.303 < 0.0000000000000002 ***
work_typegovt_job       0.70053    0.07796   8.986 < 0.0000000000000002 ***
work_typeprivate        0.27665    0.06054   4.569       0.000004893163 ***
work_typeself_employed -0.34208    0.05515  -6.203       0.000000000553 ***
Residence_typeUrban    -0.38522    0.04389  -8.777 < 0.0000000000000002 ***
avg_glucose_level       0.58826    0.04695  12.530 < 0.0000000000000002 ***
smoking_statusnever    -0.17734    0.04781  -3.709             0.000208 ***
smoking_statussmokes   -0.28716    0.05012  -5.729       0.000000010094 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 6299.3  on 4543  degrees of freedom
Residual deviance: 3366.4  on 4531  degrees of freedom
AIC: 3392.4

Number of Fisher Scoring iterations: 6
# prediction 
prediction_glm_tuned <- predict(model_glm_tuned, df_testing_over)

# matrice de confusion
matconfus_glm_tuned <- table(prediction_glm_tuned, df_testing_over$stroke)
matconfus_glm_tuned
                    
prediction_glm_tuned avcN avcP
                avcN  803  151
                avcP  170  822
# calcul de l'erreur de prediction
err_glm_tuned <- 1-(sum(diag(matconfus_glm_tuned)) / sum(matconfus_glm_tuned))
err_glm_tuned*100
[1] 16.49538
# kappa / sensibilité / specificté
kappa_glm_tuned <- CohenKappa(matconfus_glm_tuned)
kappa_glm_tuned
[1] 0.6700925
sensitivity_glm_tuned <- sensitivity(prediction_glm_tuned, df_testing_over$stroke)
sensitivity_glm_tuned
[1] 0.8252826
specificity_glm_tuned <- specificity(prediction_glm_tuned, df_testing_over$stroke)
specificity_glm_tuned
[1] 0.8448099

K-NN

Sans optimisation

Avec optimisation

# apprentissage et tuning
set.seed(42)
grid <- expand.grid(.k=seq(1,50,by=1))
model_knn_tuned <- train(stroke ~.,
                         data = df_training_over, 
                         method = "knn", 
                         metric = "ROC",
                         preProcess = c('center', 'scale'),
                         tuneGrid= grid,
                         trControl = df_control)

# affichage du modele
model_knn_tuned$finalModel
12-nearest neighbor model
Training set outcome distribution:

avcN avcP 
2272 2272 
k = model_knn_tuned$results$k[model_knn_tuned$results$ROC == max(model_knn_tuned$results$ROC)]
ggplot(model_knn_tuned)+geom_vline(xintercept = k,color ='red') # performance metric (ROC) en fonction des valeurs de C (le parametre a optimiser)


# prediction 
prediction_knn_tuned <- predict(model_knn_tuned, df_testing_over,type="prob")
prediction_knn_tuned <- predict(model_knn_tuned, df_testing_over)#,type="prob")

# matrice de confusion
matconfus_knn_tuned <- table(prediction_knn_tuned, df_testing_over$stroke)
matconfus_knn_tuned
                    
prediction_knn_tuned avcN avcP
                avcN  778  127
                avcP  195  846
# calcul de l'erreur de prediction
err_knn_tuned <- 1-(sum(diag(matconfus_knn_tuned)) / sum(matconfus_knn_tuned))
err_knn_tuned*100
[1] 16.54676
# kappa / sensibilité / specificté
kappa_knn_tuned <- CohenKappa(matconfus_knn_tuned)
kappa_knn_tuned
[1] 0.6690647
sensitivity_knn_tuned <- sensitivity(prediction_knn_tuned, df_testing_over$stroke)
sensitivity_knn_tuned
[1] 0.7995889
specificity_knn_tuned <- specificity(prediction_knn_tuned, df_testing_over$stroke)
specificity_knn_tuned
[1] 0.8694758

Nombre de cluster opt

k
[1] 12

SVM

Sans optimisation

# apprentissage
model_svm=svm(stroke~., data=df_training_over, cost=0.5, kernel="linear")     

# prediction 
prediction_svm <- predict(model_svm, df_testing_over)

# matrice de confusion
matconfus_svm <- table(prediction_svm, df_testing_over$stroke)
matconfus_svm
              
prediction_svm avcN avcP
          avcN  799  148
          avcP  174  825
# calcul de l'erreur de prediction
err_svm <- 1-(sum(diag(matconfus_svm)) / sum(matconfus_svm))
err_svm*100
[1] 16.54676
# kappa / sensibilité / specificté
kappa_svm <- CohenKappa(matconfus_svm)
kappa_svm
[1] 0.6690647
sensitivity_svm <- sensitivity(prediction_svm, df_testing_over$stroke)
sensitivity_svm
[1] 0.8211716
specificity_svm <- specificity(prediction_svm, df_testing_over$stroke)
specificity_svm
[1] 0.8478931

Avec optimisation

# apprentissage et tuning
grid <- expand.grid(C=seq(0.01,1,0.03))  
model_svm_tuned <- train(stroke ~., data = df_training_over, 
                method = "svmLinear", 
                metric = "ROC", 
                preProcess = c("scale", "center"), 
                tuneGrid= grid,
                trControl = df_control)

# affichage du modele
model_svm_tuned$finalModel
Support Vector Machine object of class "ksvm" 

SV type: C-svc  (classification) 
 parameter : cost C = 0.13 

Linear (vanilla) kernel function. 

Number of Support Vectors : 1824 

Objective Function Value : -234.5989 
Training error : 0.164173 
Probability model included. 
c = model_svm_tuned$results$C[model_svm_tuned$results$ROC == max(model_svm_tuned$results$ROC)]
ggplot(model_svm_tuned)+geom_vline(xintercept = c,color ='red')


# prediction 
prediction_svm_tuned <- predict(model_svm_tuned, df_testing_over)

# matrice de confusion
matconfus_svm_tuned <- table(prediction_svm_tuned, df_testing_over$stroke)
matconfus_svm_tuned
                    
prediction_svm_tuned avcN avcP
                avcN  801  149
                avcP  172  824
# calcul de l'erreur de prediction
err_svm_tuned <- 1-(sum(diag(matconfus_svm_tuned)) / sum(matconfus_svm_tuned))
err_svm_tuned*100
[1] 16.49538
# kappa / sensibilité / specificté
kappa_svm_tuned <- CohenKappa(matconfus_svm_tuned)
kappa_svm_tuned
[1] 0.6700925
sensitivity_svm_tuned <- sensitivity(prediction_svm_tuned, df_testing_over$stroke)
sensitivity_svm_tuned
[1] 0.8232271
specificity_svm_tuned <- specificity(prediction_svm_tuned, df_testing_over$stroke)
specificity_svm_tuned
[1] 0.8468654

Coût

c
[1] 0.22

Arbre de décision

Sans optimisation


# apprentissage
tree <- rpart(stroke ~.,data=df_training_over, method="class",
              control=rpart.control(minsplit=1,cp=0,xval=10))

# affichage du modele
plot(tree)
text(tree, use.n.=TRUE, all=TRUE, cex=.8)
Warning in text.default(xy$x, xy$y + 0.5 * cxy[2L], rows[left.child], ...) :
  "use.n." n'est pas un paramètre graphique
Warning in text.default(xy$x[leaves], xy$y[leaves] - 0.5 * cxy[2L], stat,  :
  "use.n." n'est pas un paramètre graphique

# prediction 
prediction_tree <- predict(tree, df_testing_over, type="class")

# matrice de confusion
matconfus_tree <- table(prediction_tree, df_testing_over$stroke)
matconfus_tree
               
prediction_tree avcN avcP
           avcN  816  140
           avcP  157  833
# calcul de l'erreur de prediction
err_tree <- 1-(sum(diag(matconfus_tree)) / sum(matconfus_tree))
err_tree*100
[1] 15.26208
# kappa / sensibilité / specificté
kappa_tree <- CohenKappa(matconfus_tree)
kappa_tree
[1] 0.6947585
sensitivity_tree <- sensitivity(prediction_tree, df_testing_over$stroke)
sensitivity_tree
[1] 0.8386434
specificity_tree <- specificity(prediction_tree, df_testing_over$stroke)
specificity_tree
[1] 0.8561151

Avec optimisation

# apprentissage et tuning

grid <- expand.grid(cp=seq(0.01,1,0.01)) 
model_tree_tuned = train(stroke ~., 
                  data=df_training_over, 
                  method="rpart", 
                  metric = "ROC",
                  preProcess = c("scale", "center"), 
                  tuneGrid= grid,
                  trControl = df_control)

# affichage du modele
model_tree_tuned$finalModel
n= 4544 

node), split, n, loss, yval, (yprob)
      * denotes terminal node

 1) root 4544 2272 avcN (0.5000000 0.5000000)  
   2) age< -0.2110262 1612  163 avcN (0.8988834 0.1011166) *
   3) age>=-0.2110262 2932  823 avcP (0.2806958 0.7193042)  
     6) work_typeself_employed>=1.019409 474  210 avcN (0.5569620 0.4430380) *
     7) work_typeself_employed< 1.019409 2458  559 avcP (0.2274207 0.7725793)  
      14) age< 0.2728072 609  267 avcP (0.4384236 0.5615764)  
        28) avg_glucose_level< -0.6871567 149   37 avcN (0.7516779 0.2483221) *
        29) avg_glucose_level>=-0.6871567 460  155 avcP (0.3369565 0.6630435) *
      15) age>=0.2728072 1849  292 avcP (0.1579232 0.8420768) *
summary(model_tree_tuned$finalModel)
Call:
(function (formula, data, weights, subset, na.action = na.rpart, 
    method, model = FALSE, x = FALSE, y = TRUE, parms, control, 
    cost, ...) 
{
    Call <- match.call()
    if (is.data.frame(model)) {
        m <- model
        model <- FALSE
    }
    else {
        indx <- match(c("formula", "data", "weights", "subset"), 
            names(Call), nomatch = 0)
        if (indx[1] == 0) 
            stop("a 'formula' argument is required")
        temp <- Call[c(1, indx)]
        temp$na.action <- na.action
        temp[[1]] <- quote(stats::model.frame)
        m <- eval.parent(temp)
    }
    Terms <- attr(m, "terms")
    if (any(attr(Terms, "order") > 1)) 
        stop("Trees cannot handle interaction terms")
    Y <- model.response(m)
    wt <- model.weights(m)
    if (any(wt < 0)) 
        stop("negative weights not allowed")
    if (!length(wt)) 
        wt <- rep(1, nrow(m))
    offset <- model.offset(m)
    X <- rpart.matrix(m)
    nobs <- nrow(X)
    nvar <- ncol(X)
    if (missing(method)) {
        method <- if (is.factor(Y) || is.character(Y)) 
            "class"
        else if (inherits(Y, "Surv")) 
            "exp"
        else if (is.matrix(Y)) 
            "poisson"
        else "anova"
    }
    if (is.list(method)) {
        mlist <- method
        method <- "user"
        init <- if (missing(parms)) 
            mlist$init(Y, offset, wt = wt)
        else mlist$init(Y, offset, parms, wt)
        keep <- rpartcallback(mlist, nobs, init)
        method.int <- 4
        parms <- init$parms
    }
    else {
        method.int <- pmatch(method, c("anova", "poisson", "class", 
            "exp"))
        if (is.na(method.int)) 
            stop("Invalid method")
        method <- c("anova", "poisson", "class", "exp")[method.int]
        if (method.int == 4) 
            method.int <- 2
        init <- if (missing(parms)) 
            get(paste("rpart", method, sep = "."), envir = environment())(Y, 
                offset, , wt)
        else get(paste("rpart", method, sep = "."), envir = environment())(Y, 
            offset, parms, wt)
        ns <- asNamespace("rpart")
        if (!is.null(init$print)) 
            environment(init$print) <- ns
        if (!is.null(init$summary)) 
            environment(init$summary) <- ns
        if (!is.null(init$text)) 
            environment(init$text) <- ns
    }
    Y <- init$y
    xlevels <- .getXlevels(Terms, m)
    cats <- rep(0, ncol(X))
    if (!is.null(xlevels)) 
        cats[match(names(xlevels), colnames(X))] <- unlist(lapply(xlevels, 
            length))
    extraArgs <- list(...)
    if (length(extraArgs)) {
        controlargs <- names(formals(rpart.control))
        indx <- match(names(extraArgs), controlargs, nomatch = 0)
        if (any(indx == 0)) 
            stop(gettextf("Argument %s not matched", names(extraArgs)[indx == 
                0]), domain = NA)
    }
    controls <- rpart.control(...)
    if (!missing(control)) 
        controls[names(control)] <- control
    xval <- controls$xval
    if (is.null(xval) || (length(xval) == 1 && xval == 0) || 
        method == "user") {
        xgroups <- 0
        xval <- 0
    }
    else if (length(xval) == 1) {
        xgroups <- sample(rep(1:xval, length = nobs), nobs, replace = FALSE)
    }
    else if (length(xval) == nobs) {
        xgroups <- xval
        xval <- length(unique(xgroups))
    }
    else {
        if (!is.null(attr(m, "na.action"))) {
            temp <- as.integer(attr(m, "na.action"))
            xval <- xval[-temp]
            if (length(xval) == nobs) {
                xgroups <- xval
                xval <- length(unique(xgroups))
            }
            else stop("Wrong length for 'xval'")
        }
        else stop("Wrong length for 'xval'")
    }
    if (missing(cost)) 
        cost <- rep(1, nvar)
    else {
        if (length(cost) != nvar) 
            stop("Cost vector is the wrong length")
        if (any(cost <= 0)) 
            stop("Cost vector must be positive")
    }
    tfun <- function(x) if (is.matrix(x)) 
        rep(is.ordered(x), ncol(x))
    else is.ordered(x)
    labs <- sub("^`(.*)`$", "\\1", attr(Terms, "term.labels"))
    isord <- unlist(lapply(m[labs], tfun))
    storage.mode(X) <- "double"
    storage.mode(wt) <- "double"
    temp <- as.double(unlist(init$parms))
    if (!length(temp)) 
        temp <- 0
    rpfit <- .Call(C_rpart, ncat = as.integer(cats * !isord), 
        method = as.integer(method.int), as.double(unlist(controls)), 
        temp, as.integer(xval), as.integer(xgroups), as.double(t(init$y)), 
        X, wt, as.integer(init$numy), as.double(cost))
    nsplit <- nrow(rpfit$isplit)
    ncat <- if (!is.null(rpfit$csplit)) 
        nrow(rpfit$csplit)
    else 0
    if (nsplit == 0) 
        xval <- 0
    numcp <- ncol(rpfit$cptable)
    temp <- if (nrow(rpfit$cptable) == 3) 
        c("CP", "nsplit", "rel error")
    else c("CP", "nsplit", "rel error", "xerror", "xstd")
    dimnames(rpfit$cptable) <- list(temp, 1:numcp)
    tname <- c("<leaf>", colnames(X))
    splits <- matrix(c(rpfit$isplit[, 2:3], rpfit$dsplit), ncol = 5, 
        dimnames = list(tname[rpfit$isplit[, 1] + 1], c("count", 
            "ncat", "improve", "index", "adj")))
    index <- rpfit$inode[, 2]
    nadd <- sum(isord[rpfit$isplit[, 1]])
    if (nadd > 0) {
        newc <- matrix(0, nadd, max(cats))
        cvar <- rpfit$isplit[, 1]
        indx <- isord[cvar]
        cdir <- splits[indx, 2]
        ccut <- floor(splits[indx, 4])
        splits[indx, 2] <- cats[cvar[indx]]
        splits[indx, 4] <- ncat + 1:nadd
        for (i in 1:nadd) {
            newc[i, 1:(cats[(cvar[indx])[i]])] <- -as.integer(cdir[i])
            newc[i, 1:ccut[i]] <- as.integer(cdir[i])
        }
        catmat <- if (ncat == 0) 
            newc
        else {
            cs <- rpfit$csplit
            ncs <- ncol(cs)
            ncc <- ncol(newc)
            if (ncs < ncc) 
                cs <- cbind(cs, matrix(0, nrow(cs), ncc - ncs))
            rbind(cs, newc)
        }
        ncat <- ncat + nadd
    }
    else catmat <- rpfit$csplit
    if (nsplit == 0) {
        frame <- data.frame(row.names = 1, var = "<leaf>", n = rpfit$inode[, 
            5], wt = rpfit$dnode[, 3], dev = rpfit$dnode[, 1], 
            yval = rpfit$dnode[, 4], complexity = rpfit$dnode[, 
                2], ncompete = 0, nsurrogate = 0)
    }
    else {
        temp <- ifelse(index == 0, 1, index)
        svar <- ifelse(index == 0, 0, rpfit$isplit[temp, 1])
        frame <- data.frame(row.names = rpfit$inode[, 1], var = tname[svar + 
            1], n = rpfit$inode[, 5], wt = rpfit$dnode[, 3], 
            dev = rpfit$dnode[, 1], yval = rpfit$dnode[, 4], 
            complexity = rpfit$dnode[, 2], ncompete = pmax(0, 
                rpfit$inode[, 3] - 1), nsurrogate = rpfit$inode[, 
                4])
    }
    if (method.int == 3) {
        numclass <- init$numresp - 2
        nodeprob <- rpfit$dnode[, numclass + 5]/sum(wt)
        temp <- pmax(1, init$counts)
        temp <- rpfit$dnode[, 4 + (1:numclass)] %*% diag(init$parms$prior/temp)
        yprob <- temp/rowSums(temp)
        yval2 <- matrix(rpfit$dnode[, 4 + (0:numclass)], ncol = numclass + 
            1)
        frame$yval2 <- cbind(yval2, yprob, nodeprob)
    }
    else if (init$numresp > 1) 
        frame$yval2 <- rpfit$dnode[, -(1:3), drop = FALSE]
    if (is.null(init$summary)) 
        stop("Initialization routine is missing the 'summary' function")
    functions <- if (is.null(init$print)) 
        list(summary = init$summary)
    else list(summary = init$summary, print = init$print)
    if (!is.null(init$text)) 
        functions <- c(functions, list(text = init$text))
    if (method == "user") 
        functions <- c(functions, mlist)
    where <- rpfit$which
    names(where) <- row.names(m)
    ans <- list(frame = frame, where = where, call = Call, terms = Terms, 
        cptable = t(rpfit$cptable), method = method, parms = init$parms, 
        control = controls, functions = functions, numresp = init$numresp)
    if (nsplit) 
        ans$splits = splits
    if (ncat > 0) 
        ans$csplit <- catmat + 2
    if (nsplit) 
        ans$variable.importance <- importance(ans)
    if (model) {
        ans$model <- m
        if (missing(y)) 
            y <- FALSE
    }
    if (y) 
        ans$y <- Y
    if (x) {
        ans$x <- X
        ans$wt <- wt
    }
    ans$ordered <- isord
    if (!is.null(attr(m, "na.action"))) 
        ans$na.action <- attr(m, "na.action")
    if (!is.null(xlevels)) 
        attr(ans, "xlevels") <- xlevels
    if (method == "class") 
        attr(ans, "ylevels") <- init$ylevels
    class(ans) <- "rpart"
    ans
})(formula = .outcome ~ ., data = list(c(1.52992197411931, 1.52992197411931, 
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    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2)), control = list(20, 7, 0, 4, 5, 2, 0, 30, 0))
  n= 4544 

          CP nsplit rel error
1 0.56602113      0 1.0000000
2 0.02376761      1 0.4339789
3 0.01650528      2 0.4102113
4 0.01000000      4 0.3772007

Variable importance
                   age work_typeself_employed   smoking_statussmokes      avg_glucose_level        ever_marriedYes                    bmi 
                    73                      7                      6                      5                      4                      4 

Node number 1: 4544 observations,    complexity param=0.5660211
  predicted class=avcN  expected loss=0.5  P(node) =1
    class counts:  2272  2272
   probabilities: 0.500 0.500 
  left son=2 (1612 obs) right son=3 (2932 obs)
  Primary splits:
      age                  < -0.2110262 to the left,  improve=794.98930, (0 missing)
      avg_glucose_level    < 0.8560023  to the left,  improve=213.57730, (0 missing)
      smoking_statussmokes < 1.054946   to the right, improve=121.20980, (0 missing)
      Residence_typeUrban  < 0.1792917  to the right, improve=100.78070, (0 missing)
      genderMale           < 0.4382189  to the right, improve= 83.94916, (0 missing)
  Surrogate splits:
      smoking_statussmokes < 1.054946   to the right, agree=0.675, adj=0.083, (0 split)
      ever_marriedYes      < -0.6740588 to the left,  agree=0.669, adj=0.067, (0 split)
      bmi                  < -1.401959  to the left,  agree=0.667, adj=0.061, (0 split)
      avg_glucose_level    < -1.032488  to the left,  agree=0.655, adj=0.027, (0 split)

Node number 2: 1612 observations
  predicted class=avcN  expected loss=0.1011166  P(node) =0.3547535
    class counts:  1449   163
   probabilities: 0.899 0.101 

Node number 3: 2932 observations,    complexity param=0.02376761
  predicted class=avcP  expected loss=0.2806958  P(node) =0.6452465
    class counts:   823  2109
   probabilities: 0.281 0.719 
  left son=6 (474 obs) right son=7 (2458 obs)
  Primary splits:
      work_typeself_employed < 1.019409   to the right, improve=86.30702, (0 missing)
      age                    < 0.3803585  to the left,  improve=73.82598, (0 missing)
      genderMale             < 0.4382189  to the right, improve=51.05197, (0 missing)
      smoking_statussmokes   < 1.054946   to the right, improve=50.41235, (0 missing)
      Residence_typeUrban    < 0.1792917  to the right, improve=46.97257, (0 missing)

Node number 6: 474 observations
  predicted class=avcN  expected loss=0.443038  P(node) =0.1043134
    class counts:   264   210
   probabilities: 0.557 0.443 

Node number 7: 2458 observations,    complexity param=0.01650528
  predicted class=avcP  expected loss=0.2274207  P(node) =0.5409331
    class counts:   559  1899
   probabilities: 0.227 0.773 
  left son=14 (609 obs) right son=15 (1849 obs)
  Primary splits:
      age                  < 0.2728072  to the left,  improve=72.08907, (0 missing)
      genderMale           < 0.4382189  to the right, improve=38.82275, (0 missing)
      smoking_statussmokes < 1.054946   to the right, improve=38.23586, (0 missing)
      avg_glucose_level    < 0.07933248 to the left,  improve=34.44747, (0 missing)
      Residence_typeUrban  < 0.1792917  to the right, improve=31.73493, (0 missing)
  Surrogate splits:
      bmi               < 1.17693    to the right, agree=0.758, adj=0.025, (0 split)
      avg_glucose_level < -1.179359  to the left,  agree=0.755, adj=0.010, (0 split)

Node number 14: 609 observations,    complexity param=0.01650528
  predicted class=avcP  expected loss=0.4384236  P(node) =0.1340229
    class counts:   267   342
   probabilities: 0.438 0.562 
  left son=28 (149 obs) right son=29 (460 obs)
  Primary splits:
      avg_glucose_level < -0.6871567 to the left,  improve=38.71413, (0 missing)
      bmi               < -0.8783906 to the left,  improve=22.40866, (0 missing)
      work_typegovt_job < 1.888827   to the left,  improve=13.41302, (0 missing)
      age               < -0.1587752 to the right, improve=10.44095, (0 missing)
      genderMale        < 0.4382189  to the right, improve=10.08388, (0 missing)

Node number 15: 1849 observations
  predicted class=avcP  expected loss=0.1579232  P(node) =0.4069102
    class counts:   292  1557
   probabilities: 0.158 0.842 

Node number 28: 149 observations
  predicted class=avcN  expected loss=0.2483221  P(node) =0.03279049
    class counts:   112    37
   probabilities: 0.752 0.248 

Node number 29: 460 observations
  predicted class=avcP  expected loss=0.3369565  P(node) =0.1012324
    class counts:   155   305
   probabilities: 0.337 0.663 
plot(model_tree_tuned$finalModel, uniform=TRUE, main="Pruned Classification Tree")

text(model_tree_tuned$finalModel, use.n.=TRUE, all=TRUE, cex=.8)
Warning in text.default(xy$x, xy$y + 0.5 * cxy[2L], rows[left.child], ...) :
  "use.n." n'est pas un paramètre graphique
Warning in text.default(xy$x[leaves], xy$y[leaves] - 0.5 * cxy[2L], stat,  :
  "use.n." n'est pas un paramètre graphique

# prediction 
prediction_tree_tuned <- predict(model_tree_tuned,  df_testing_over)

# matrice de confusion
matconfus_tree_tuned <- table(prediction_tree_tuned, df_testing_over$stroke)
matconfus_tree_tuned
                     
prediction_tree_tuned avcN avcP
                 avcN  771  188
                 avcP  202  785
# calcul de l'erreur de prediction
err_tree_tuned <- 1-(sum(diag(matconfus_tree_tuned)) / sum(matconfus_tree_tuned))
err_tree_tuned*100
[1] 20.04111
# kappa / sensibilité / specificté
kappa_tree_tuned <- CohenKappa(matconfus_tree_tuned)
kappa_tree_tuned
[1] 0.5991778
sensitivity_tree_tuned <- sensitivity(prediction_tree_tuned, df_testing_over$stroke)
sensitivity_tree_tuned
[1] 0.7923947
specificity_tree_tuned <- specificity(prediction_tree_tuned, df_testing_over$stroke)
specificity_tree_tuned
[1] 0.8067831

Forêt aléatoire

Sans optimisation

# apprentissage
model_rf <- train(stroke ~., 
                data = df_training_over, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

model_rf$finalModel

Call:
 randomForest(x = x, y = y, mtry = min(param$mtry, ncol(x))) 
               Type of random forest: classification
                     Number of trees: 500
No. of variables tried at each split: 7

        OOB estimate of  error rate: 9.26%
Confusion matrix:
     avcN avcP class.error
avcN 2014  258  0.11355634
avcP  163 2109  0.07174296
# prediction 
prediction_rf <- predict(model_rf, df_testing_over)

# matrice de confusion
matconfus_rf <- table(prediction_rf, df_testing_over$stroke)
matconfus_rf
             
prediction_rf avcN avcP
         avcN  846   70
         avcP  127  903
# calcul de l'erreur de prediction
err_rf <- 1-(sum(diag(matconfus_rf)) / sum(matconfus_rf))
err_rf*100
[1] 10.12333
# kappa / sensibilité / specificté
kappa_rf <- CohenKappa(matconfus_rf)
kappa_rf
[1] 0.7975334
sensitivity_rf <- sensitivity(prediction_rf, df_testing_over$stroke)
sensitivity_rf
[1] 0.8694758
specificity_rf <- specificity(prediction_rf, df_testing_over$stroke)
specificity_rf
[1] 0.9280576

Avec optimisation

# apprentissage et tuning
grid <- expand.grid(mtry=2:10)

model_rf_tuned <- train(stroke ~., 
                data = df_training_over, 
                method = "rf", 
                metric = "ROC",
                tuneGrid= grid,
                preProcess = c("scale", "center"),
                trControl = df_control)

# affichage du modele
plot(model_rf_tuned)

plot(model_rf_tuned$finalModel)


model_rf_tuned$finalModel

Call:
 randomForest(x = x, y = y, mtry = min(param$mtry, ncol(x))) 
               Type of random forest: classification
                     Number of trees: 500
No. of variables tried at each split: 6

        OOB estimate of  error rate: 9.42%
Confusion matrix:
     avcN avcP class.error
avcN 2010  262  0.11531690
avcP  166 2106  0.07306338
varImpPlot(model_rf_tuned$finalModel, sort = TRUE, n.var = 13, main = "Variables importance")


# prediction
prediction_rf_tuned <- predict(model_rf_tuned, df_testing_over)

# matrice de confusion
matconfus_rf_tuned <- table(prediction_rf_tuned, df_testing_over$stroke)
matconfus_rf_tuned
                   
prediction_rf_tuned avcN avcP
               avcN  849   70
               avcP  124  903
# calcul de l'erreur de prediction
err_rf_tuned <- 1-(sum(diag(matconfus_rf_tuned)) / sum(matconfus_rf_tuned))
err_rf_tuned*100
[1] 9.969168
# kappa / sensibilité / specificté
kappa_rf_tuned <- CohenKappa(matconfus_rf_tuned)
kappa_rf_tuned
[1] 0.8006166
sensitivity_rf_tuned <- sensitivity(prediction_rf_tuned, df_testing_over$stroke)
sensitivity_rf_tuned
[1] 0.8725591
specificity_rf_tuned <- specificity(prediction_rf_tuned, df_testing_over$stroke)
specificity_rf_tuned
[1] 0.9280576

Comparaison des différents modèles


### les courbes ROC des 5 méthodes

# glm
pr_glm = prediction(as.numeric(prediction_glm_tuned), as.numeric(df_testing_over$stroke))
prf_glm = performance(pr_glm, measure = "tpr", x.measure = "fpr")
plot(prf_glm)

# knn
pr_knn = prediction(as.numeric(prediction_knn_tuned), as.numeric(df_testing_over$stroke))
prf_knn = performance(pr_knn, measure = "tpr", x.measure = "fpr")
plot(prf_knn, col="red", add=TRUE)

# tree
pr_tree = prediction(as.numeric(prediction_tree_tuned), as.numeric(df_testing_over$stroke))
prf_tree = performance(pr_tree, measure = "tpr", x.measure = "fpr")
plot(prf_tree, col="purple",add=TRUE)

# rf
pr_rf = prediction(as.numeric(prediction_rf_tuned), as.numeric(df_testing_over$stroke))
prf_rf = performance(pr_rf, measure = "tpr", x.measure = "fpr")
plot(prf_rf, col="green", add=TRUE)

# svm
pr_svm = prediction(as.numeric(prediction_svm_tuned), as.numeric(df_testing_over$stroke))
prf_svm = performance(pr_svm, measure = "tpr", x.measure = "fpr")
plot(prf_svm, col="blue", add=TRUE)


legend("bottomright", inset = 0.1, legend = c("glm", "knn", "tree", "rf", "svm"), lty = 1,
       col = c("black", "red", "purple","green","blue"))



### les AUC pour les 5 methodes

# glm
auc_glm = performance(pr_glm, measure = "auc")
auc_glm = auc_glm@y.values[[1]]

# knn
auc_knn = performance(pr_knn, measure = "auc")
auc_knn = auc_knn@y.values[[1]]


# tree
auc_tree = performance(pr_tree, measure = "auc")
auc_tree = auc_tree@y.values[[1]]

# rf
auc_rf = performance(pr_rf, measure = "auc")
auc_rf = auc_rf@y.values[[1]]

# svm
auc_svm = performance(pr_svm, measure = "auc")
auc_svm = auc_svm@y.values[[1]]
Methode <- c("glm","glm_tuned","knn_tuned","svm","svm_tuned","tree","tree_tuned","rf","rf_tuned")
Erreur <- c(round(err_glm*100,2),
            round(err_glm_tuned*100,2),
            round(err_knn_tuned*100,2),
            round(err_svm*100,2),
            round(err_svm_tuned*100,2),
            round(err_tree*100,2),
            round(err_tree_tuned*100,2),
            round(err_rf*100,2),
            round(err_rf_tuned*100,2)
            )
Kappa <- c(round(kappa_glm,2),
           round(kappa_glm_tuned,2),
           round(kappa_knn_tuned,2),
           round(kappa_svm,2),
           round(kappa_svm_tuned,2),
           round(kappa_tree,2),
           round(kappa_tree_tuned,2),
           round(kappa_rf,2),
           round(kappa_rf_tuned,2)
           )
Sensibilité <- c(round(sensitivity_glm,2),
            round(sensitivity_glm_tuned,2),
            round(sensitivity_knn_tuned,2),
            round(sensitivity_svm,2),
            round(sensitivity_svm_tuned,2),
            round(sensitivity_tree,2),
            round(sensitivity_tree_tuned,2),
            round(sensitivity_rf,2),
            round(sensitivity_rf_tuned,2)
            )
Specificité <- c(round(specificity_glm,2),
            round(specificity_glm_tuned,2),
            round(specificity_knn_tuned,2),
            round(specificity_svm,2),
            round(specificity_svm_tuned,2),
            round(specificity_tree,2),
            round(specificity_tree_tuned,2),
            round(specificity_rf,2),
            round(specificity_rf_tuned,2)
           )
AUC <- c("x",
            round(auc_glm,2),
            round(auc_knn,2),
            "x",
            round(auc_svm,2),
            "x",
            round(auc_tree,2),
            "x",
            round(auc_rf,2)
           )

modele_compare <- data.frame(Methode, Erreur,Kappa, Sensibilité, Specificité, AUC)
modele_compare
model_list <- list(logistic = model_glm_tuned,
                   knn=model_knn_tuned,
                   rf = model_rf_tuned, 
                   svm = model_svm_tuned,  
                   tree = model_tree_tuned)
results <- resamples(model_list)

summary(results)

Call:
summary.resamples(object = results)

Models: logistic, knn, rf, svm, tree 
Number of resamples: 5 

ROC 
              Min.   1st Qu.    Median      Mean   3rd Qu.      Max. NA's
logistic 0.8986591 0.9123697 0.9134870 0.9131676 0.9161249 0.9251974    0
knn      0.8999665 0.9130126 0.9130488 0.9120522 0.9157041 0.9185292    0
rf       0.9579029 0.9639111 0.9670451 0.9664253 0.9697597 0.9735076    0
svm      0.8872150 0.9068161 0.9155670 0.9115231 0.9170790 0.9309387    0
tree     0.8428378 0.8480516 0.8529361 0.8525265 0.8568724 0.8619345    0

Sens 
              Min.   1st Qu.    Median      Mean   3rd Qu.      Max. NA's
logistic 0.7978022 0.8017621 0.8215859 0.8133834 0.8219780 0.8237885    0
knn      0.7863436 0.7868132 0.7973568 0.7966559 0.8043956 0.8083700    0
rf       0.8505495 0.8744493 0.8769231 0.8741289 0.8788546 0.8898678    0
svm      0.7841410 0.8017621 0.8043956 0.8098504 0.8237885 0.8351648    0
tree     0.7599119 0.7890110 0.8083700 0.7984083 0.8105727 0.8241758    0

Spec 
              Min.   1st Qu.    Median      Mean   3rd Qu.      Max. NA's
logistic 0.8348018 0.8395604 0.8480176 0.8538742 0.8659341 0.8810573    0
knn      0.8568282 0.8659341 0.8722467 0.8701593 0.8725275 0.8832599    0
rf       0.9120879 0.9186813 0.9207048 0.9207794 0.9229075 0.9295154    0
svm      0.8285714 0.8461538 0.8612335 0.8552094 0.8700441 0.8700441    0
tree     0.7863436 0.7907489 0.8065934 0.8076420 0.8083700 0.8461538    0
bwplot(results)

bwplot(results, metric = "ROC")

bwplot(results, metric = "Spec")

bwplot(results, metric = "Sens")

---
title: "AVC"
output: html_notebook
---
# Librairies
```{r}
library(ggplot2)
library(corrplot)
library(kernlab)
library(dplyr) 
library(ade4)
library(ROCR)
library(caret)
library(DescTools)
library(imbalance)
library(rpart)
library(e1071)
library(randomForest)
library(pROC)
library(explor)
```

```{r}
#setwd("~/Documents/IMT Atlantique/2A/S4B1/H - Analyse des données de santé - épidémiologie et aide à la décision/Stroke") ### chemin a changer ici
#getwd()
```

# Analyse du jeu donnée
```{r}
data <- read.csv("healthcare-dataset-stroke-data.csv", header=TRUE, sep=",")
head(data)
str(data)
```
```{r}
data_format <- data
str(data_format)
nrow(data_format)
# supprime id
data_format<- data_format[,-c(1)]
# conversion de bmi chr en num
data_format$bmi <- suppressWarnings(as.numeric(data_format$bmi))
# supprime le cas ou genre = other (une fois)
data_format<-data_format[!(data_format$gender=="Other"),]
data_format<-data_format[!(data_format$smoking_status=="Unknown"),]
# assemble deux facteur d'un attribut en un (pas assez nombreux pour deux)
data_format$work_type[data_format$work_type == "children" | data_format$work_type == "Never_worked"] <- "never_worked" 
# conversion chr en facteur
data_format <- as.data.frame(unclass(data_format), stringsAsFactors = TRUE)
# supprime les na
data_format <- na.omit(data_format)
# les binaires (hypertension, heart_disease et stroke) en facteur
data_format$hypertension <- factor(as.factor(data_format$hypertension),labels=c("htN","htP"))
data_format$heart_disease <- factor(as.factor(data_format$heart_disease),labels=c("hdN","hdP"))
data_format$stroke <- factor(as.factor(data_format$stroke),labels=c("avcN","avcP"))
# change les labels qui ne sont pas utilisables en R
data_format$work_type <- factor(as.factor(data_format$work_type),labels=c("never_worked","govt_job","private","self_employed"))
data_format$smoking_status <- factor(as.factor(data_format$smoking_status),labels=c("formerly","never","smokes"))

str(data_format)
nrow(data_format)


```
## Variable - Age
```{r}
# Variable - Age
# Cree un data set avec AVc = 0 et un autre = 1
avc0 <- subset(data_format, stroke == 0)
avc1 <- subset(data_format, stroke == 1)

# Plot hist age avc = 0
ggplot(avc0, aes(x=age)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(0, 85, by = 5) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des âges des non AVCs") + theme(plot.title = element_text(hjust = 0.5))

# Plot hist age avc = 1
ggplot(avc1, aes(x=age)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(0, 85, by = 5) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des âges des AVCs") + theme(plot.title = element_text(hjust = 0.5))

# Plot hist et densité age avc 
ggplot(data_format, aes(x=age, color =stroke, fill = stroke)) +
   geom_histogram(aes(y =..density..),position="identity", alpha=0.2, breaks=seq(0, 85, by = 5) )+
  geom_density(alpha=0.2) + 
  ggtitle("Histogramme des âges en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

# boxPlot age
ggplot(data_format, aes(x=stroke, y=age, color=stroke)) + 
  geom_boxplot() + 
  ggtitle("Boxplot des âges en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))
```

```{r}
# Regroupement selon plusieurs groupes d'âges

#table(data_format$stroke, data_format$age)
data_format$ageQ <- cut(data_format$age, 
                         breaks = c(-Inf
                                    ,29,49,64
                                    , Inf), 
                         
                         labels = c("0_30"
                                    ,"31_50","51_65","66_plus"
                                    ),
                         right = FALSE)


stroke_age <- as.data.frame(table(data_format$stroke, data_format$ageQ))
stroke_age

# conversion de ageQ chr en num
data_format$ageQ <- suppressWarnings(as.factor(data_format$ageQ))

# dataframe de classe d'age en fonction d'avc
ageQ <- as.data.frame(table(data_format$ageQ, data_format$stroke))
colnames(ageQ) <- c('Classe_age','AVC','Fréquence')

# calcul pourcentage avc par classe d'age
ageQ_0_30_avc <- (ageQ$Fréquence[ageQ$Classe_age =="0_30" & ageQ$AVC == "avcP"] / sum(ageQ$Fréquence[ageQ$Classe_age =="0_30"]))*100
ageQ_31_50_avc <- (ageQ$Fréquence[ageQ$Classe_age =="31_50" & ageQ$AVC == "avcP"] / sum(ageQ$Fréquence[ageQ$Classe_age =="31_50"]))*100
ageQ_51_65_avc <- (ageQ$Fréquence[ageQ$Classe_age =="51_65" & ageQ$AVC == "avcP"] / sum(ageQ$Fréquence[ageQ$Classe_age =="51_65"]))*100
ageQ_66_plus_avc <- (ageQ$Fréquence[ageQ$Classe_age =="66_plus" & ageQ$AVC == "avcP"] / sum(ageQ$Fréquence[ageQ$Classe_age =="66_plus"]))*100
print(paste("Pourcentage de 0_30 AVC : " ,round(ageQ_0_30_avc,2),"%"))
print(paste("Pourcentage de 31_50 AVC : " ,round(ageQ_31_50_avc,2),"%"))
print(paste("Pourcentage de 51_65 AVC : " ,round(ageQ_66_plus_avc,2),"%"))
print(paste("Pourcentage de 66_plus AVC : " ,round(ageQ_65_inf_avc,2),"%"))

# plot hist par classe d'age
ggplot(ageQ, aes(x = Classe_age, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") + 
        ggtitle("Classe d'age en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)

```

## Variable - Genre
```{r}
# Variable - Genre
# dataframe de genre en fonction d'avc
gender <- as.data.frame(table(data_format$gender, data_format$stroke))
colnames(gender) <- c('Genre','AVC','Fréquence')
head(gender)

# calcul pourcentage avc par genre
femme_avc <- (gender$Fréquence[gender$Genre =="Female" & gender$AVC == "avcP"] / sum(gender$Fréquence[gender$Genre =="Female"]))*100
homme_avc <- (gender$Fréquence[gender$Genre =="Male" & gender$AVC == "avcP"] / sum(gender$Fréquence[gender$Genre =="Male"]))*100
print(paste("Pourcentage de femme AVC : " ,round(femme_avc,2),"%"))
print(paste("Pourcentage de homme AVC : " ,round(homme_avc,2),"%"))

# plot hist genre
ggplot(gender, aes(x = Genre, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") + 
        ggtitle("Genre en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)
```

## Variable - Hypertension
```{r}
# Variable - Hypertension
# dataframe de hypertension en fonction d'avc
hypertension <- as.data.frame(table(data_format$hypertension, data_format$stroke))
colnames(hypertension) <- c('Hypertension','AVC','Fréquence')
head(hypertension)

# calcul pourcentage avc par hypertension
hypertention0_avc <- (hypertension$Fréquence[hypertension$Hypertension == "htN" & hypertension$AVC == "avcP"] / sum(hypertension$Fréquence[hypertension$Hypertension == "htN"]))*100
hypertention1_avc <- (hypertension$Fréquence[hypertension$Hypertension == "htP" & hypertension$AVC == "avcP"] / sum(hypertension$Fréquence[hypertension$Hypertension == "htP"]))*100
print(paste("Pourcentage de hypertension 0 AVC : " ,round(hypertention0_avc,2),"%"))
print(paste("Pourcentage de hypertension 1 AVC : " ,round(hypertention1_avc,2),"%"))

# plot hist hypertension
ggplot(hypertension, aes(x = Hypertension, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Hypertension en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)
```
## Variable - Maladie cardiaque
```{r}
# Variable - Maladie cardiaque
# dataframe de Maladie cardiaque en fonction d'avc
maladie_cardiaque <- as.data.frame(table(data_format$heart_disease, data_format$stroke))
colnames(maladie_cardiaque) <- c('Maladie_cardiaque','AVC','Fréquence')
head(maladie_cardiaque)

# calcul pourcentage avc par Maladie cardiaque
maladie_cardiaque0 <- (maladie_cardiaque$Fréquence[maladie_cardiaque$Maladie_cardiaque == "hdN" & maladie_cardiaque$AVC == "avcP"] / sum(maladie_cardiaque$Fréquence[maladie_cardiaque$Maladie_cardiaque == "hdN"]))*100
maladie_cardiaque1 <- (maladie_cardiaque$Fréquence[maladie_cardiaque$Maladie_cardiaque == "hdP" & maladie_cardiaque$AVC == "avcP"] / sum(maladie_cardiaque$Fréquence[maladie_cardiaque$Maladie_cardiaque == "hdP"]))*100
print(paste("Pourcentage de maladie cardiaque 0 AVC : " ,round(maladie_cardiaque0,2),"%"))
print(paste("Pourcentage de maladie cardiaque 1 AVC : " ,round(maladie_cardiaque1,2),"%"))

# plot hist Maladie cardiaque
ggplot(maladie_cardiaque, aes(x = Maladie_cardiaque, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Maladie cardiaque en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)
```
## Variable - Mariage
```{r}
# Variable - Mariage
# dataframe de Mariage en fonction d'avc
mariage <- as.data.frame(table(data_format$ever_married, data_format$stroke))
colnames(mariage) <- c('Mariage','AVC','Fréquence')
head(mariage)

# calcul pourcentage avc par Mariage
mariage_no <- (mariage$Fréquence[mariage$Mariage =="No" & mariage$AVC == "avcP"] / sum(mariage$Fréquence[mariage$Mariage =="No"]))*100
mariage_yes <- (mariage$Fréquence[mariage$Mariage =="Yes" & mariage$AVC == "avcP"] / sum(mariage$Fréquence[mariage$Mariage =="Yes"]))*100
print(paste("Pourcentage de pas marié AVC : " ,round(mariage_no,2),"%"))
print(paste("Pourcentage de marié AVC : " ,round(mariage_yes,2),"%"))

# plot hist Mariage
ggplot(mariage, aes(x = Mariage, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Ayant eu un mariage en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)
```
## Variable - Travail
```{r}
# Variable - Travail
# dataframe de Travail en fonction d'avc
type_travail <- as.data.frame(table(data_format$work_type, data_format$stroke))
colnames(type_travail) <- c('Type_travail','AVC','Fréquence')
head(type_travail)

# calcul pourcentage avc par Travail
gouvernement_job_avc <- (type_travail$Fréquence[type_travail$Type_travail =="govt_job" & type_travail$AVC == "avcP"] / sum(type_travail$Fréquence[type_travail$Type_travail =="govt_job"]))*100

pas_travail_avc <- (type_travail$Fréquence[type_travail$Type_travail =="never_worked" & type_travail$AVC == "avcP"] / sum(type_travail$Fréquence[type_travail$Type_travail =="never_worked" ]))*100

prive_avc <- (type_travail$Fréquence[type_travail$Type_travail =="private" & type_travail$AVC == "avcP"] / sum(type_travail$Fréquence[type_travail$Type_travail =="private"]))*100

independant_avc <- (type_travail$Fréquence[type_travail$Type_travail =="self_employed" & type_travail$AVC == "avcP"] / sum(type_travail$Fréquence[type_travail$Type_travail =="self_employed"]))*100

print(paste("Pourcentage de job gouvernement AVC : " ,round(gouvernement_job_avc,2),"%"))
print(paste("Pourcentage de pas de travail AVC : " ,round(pas_travail_avc,2),"%"))
print(paste("Pourcentage de job privé AVC : " ,round(prive_avc,2),"%"))
print(paste("Pourcentage de indépendant AVC : " ,round(independant_avc,2),"%"))

# plot hist Travail
ggplot(type_travail, aes(x = Type_travail, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Type de travail en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)
```
## Variable - Résidence
```{r}
# Variable - Résidence
# dataframe de Résidence en fonction d'avc
type_residence <- as.data.frame(table(data_format$Residence_type, data_format$stroke))
colnames(type_residence) <- c('Type_residence','AVC','Fréquence')
head(type_residence)

# calcul pourcentage avc par Résidence
rural_avc <- (type_residence$Fréquence[type_residence$Type_residence =="Rural" & type_residence$AVC == "avcP"] / sum(type_residence$Fréquence[type_residence$Type_residence =="Rural"]))*100
urbain_avc <- (type_residence$Fréquence[type_residence$Type_residence =="Urban" & type_residence$AVC == "avcP"] / sum(type_residence$Fréquence[type_residence$Type_residence =="Urban"]))*100
print(paste("Pourcentage de rural AVC : " ,round(rural_avc,2),"%"))
print(paste("Pourcentage de urbain AVC : " ,round(urbain_avc),"%"))

# plot hist Résidence
ggplot(type_residence, aes(x = Type_residence, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Type de résidence en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)
```
## Variable - Niveau glucose
```{r}
# Variable - Niveau glucose
min(avc0$avg_glucose_level)
max(avc0$avg_glucose_level)
min(avc1$avg_glucose_level)
max(avc1$avg_glucose_level)

# Plot hist avg_glucose_level avc = 0
ggplot(avc0, aes(x=avg_glucose_level)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(55, 275, by = 10) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des niveaux de glucose des non AVCs") + theme(plot.title = element_text(hjust = 0.5))

# Plot hist avg_glucose_level avc = 1
ggplot(avc1, aes(x=avg_glucose_level)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(55, 275, by = 10) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des niveaux de glucose des AVCs") + theme(plot.title = element_text(hjust = 0.5))

# Plot hist et densité avg_glucose_level avc 
ggplot(data_format, aes(x=avg_glucose_level, color =stroke, fill = stroke)) +
   geom_histogram(aes(y =..density..),position="identity", alpha=0.2, breaks=seq(55, 275, by = 10) )+
  geom_density(alpha=0.2) + 
  ggtitle("Histogramme des niveaux de glucose en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

# boxPlot avg_glucose_level
ggplot(data_format, aes(x=stroke, y=avg_glucose_level, color=stroke)) + 
  geom_boxplot() + 
  ggtitle("Boxplot des niveaux de glucose en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))
```

```{r}
# Regroupement selon les niveaux de glucose
#summary(data_format$avg_glucose_level)
data_format$glucoseQ <- cut(data_format$avg_glucose_level, 
                         breaks = c(-Inf
                                    ,69, 99,125
                                    , Inf), 
                         
                         labels = c("0_69", "70_100"
                                    ,"101_126","127_plus"
                                    ),
                         right = FALSE)

stroke_glc <- as.data.frame(table(data_format$stroke, data_format$glucoseQ))
stroke_glc

# conversion de glucoseQ chr en num
data_format$glucoseQ <- suppressWarnings(as.factor(data_format$glucoseQ))


# dataframe de classe glucose en fonction d'avc
glucoseQ <- as.data.frame(table(data_format$glucoseQ, data_format$stroke))
colnames(glucoseQ) <- c('Classe_glucose','AVC','Fréquence')

# calcul pourcentage avc par classe de glucose
glucoseQ_0_69_avc <- (glucoseQ$Fréquence[glucoseQ$Classe_glucose =="0_69" & glucoseQ$AVC == "avcP"] / sum(glucoseQ$Fréquence[glucoseQ$Classe_glucose =="0_69"]))*100
glucoseQ_70_100_avc <- (glucoseQ$Fréquence[glucoseQ$Classe_glucose =="70_100" & glucoseQ$AVC == "avcP"] / sum(glucoseQ$Fréquence[glucoseQ$Classe_glucose =="70_100"]))*100
glucoseQ_101_126_avc <- (glucoseQ$Fréquence[glucoseQ$Classe_glucose =="101_126" & glucoseQ$AVC == "avcP"] / sum(glucoseQ$Fréquence[glucoseQ$Classe_glucose =="101_126"]))*100
glucoseQ_127_plus_avc <- (glucoseQ$Fréquence[glucoseQ$Classe_glucose =="127_plus" & glucoseQ$AVC == "avcP"] / sum(glucoseQ$Fréquence[glucoseQ$Classe_glucose =="127_plus"]))*100
print(paste("Pourcentage de 0_69 AVC : " ,round(glucoseQ_0_69_avc,2),"%"))
print(paste("Pourcentage de 70_100 AVC : " ,round(glucoseQ_70_100_avc,2),"%"))
print(paste("Pourcentage de 101_126 AVC : " ,round(glucoseQ_101_126_avc,2),"%"))
print(paste("Pourcentage de 127_plus AVC : " ,round(glucoseQ_127_plus_avc,2),"%"))

# plot hist par classe de glucose
ggplot(glucoseQ, aes(x = Classe_glucose, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") + 
        ggtitle("Classe de niveau de glucose en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0) 
```



## Variable - IMC
```{r}
# Variable - IMC
min(avc0$bmi)
max(avc0$bmi)
min(avc1$bmi)
max(avc1$bmi)

# Plot hist IMC avc = 0
ggplot(avc0, aes(x=bmi)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(10, 100, by = 5) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des IMC des non AVCs") + theme(plot.title = element_text(hjust = 0.5))

# Plot hist IMC avc = 1
ggplot(avc1, aes(x=bmi)) +
  geom_histogram(aes(y =..density..),position="identity", alpha=0.2,col="#00AFBB", fill="#00AFBB", breaks=seq(10, 100, by = 5) )+
  geom_density(col = 2) + 
  ggtitle("Histogramme des IMC des AVCs") + theme(plot.title = element_text(hjust = 0.5))

# Plot hist et densité IMC avc 
ggplot(data_format, aes(x=bmi, color =stroke, fill = stroke)) +
   geom_histogram(aes(y =..density..),position="identity", alpha=0.2, breaks=seq(10, 100, by = 5) )+
  geom_density(alpha=0.2) + 
  ggtitle("Histogramme des IMC en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

# boxPlot IMC
ggplot(data_format, aes(x=stroke, y=bmi, color=stroke)) + 
  geom_boxplot() + 
  ggtitle("Boxplot des IMC en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))
```

```{r}
# Regroupement selon les groupes d'IMC

#summary(data_format$bmi)
data_format$bmiQ <- cut(data_format$bmi, 
                         breaks = c(-Inf
                                    ,24.9, 29.9, 34.9
                                    , Inf), 
                         
                         labels = c("0_25"
                                    ,"25_30","30_35",
                                    "35_plus"
                                    ),
                         right = FALSE)

stroke_bmi <- as.data.frame(table(data_format$stroke, data_format$bmiQ))
#stroke_bmi

# conversion de bmiQ chr en num
data_format$bmiQ <- suppressWarnings(as.factor(data_format$bmiQ))
#data_format$bmiQ

# dataframe de classe imc en fonction d'avc
bmiQ <- as.data.frame(table(data_format$bmiQ, data_format$stroke))
colnames(bmiQ) <- c('Classe_IMC','AVC','Fréquence')
head(bmiQ)

# calcul pourcentage avc par classe d'imc
bmiQ_0_25_avc <- (bmiQ$Fréquence[bmiQ$Classe_IMC =="0_25" & bmiQ$AVC == "avcP"] / sum(bmiQ$Fréquence[bmiQ$Classe_IMC =="0_25"]))*100
bmiQ_25_30_avc <- (bmiQ$Fréquence[bmiQ$Classe_IMC =="25_30" & bmiQ$AVC == "avcP"] / sum(bmiQ$Fréquence[bmiQ$Classe_IMC =="25_30"]))*100
bmiQ_30_35_avc <- (bmiQ$Fréquence[bmiQ$Classe_IMC =="30_35" & bmiQ$AVC == "avcP"] / sum(bmiQ$Fréquence[bmiQ$Classe_IMC =="30_35"]))*100
bmiQ_35_plus_avc <- (bmiQ$Fréquence[bmiQ$Classe_IMC =="35_plus" & bmiQ$AVC == "avcP"] / sum(bmiQ$Fréquence[bmiQ$Classe_IMC =="35_plus"]))*100
print(paste("Pourcentage de 0_25 AVC : " ,round(bmiQ_0_25_avc,2),"%"))
print(paste("Pourcentage de 25_30 AVC : " ,round(bmiQ_25_30_avc,2),"%"))
print(paste("Pourcentage de 30_35 AVC : " ,round(bmiQ_30_35_avc,2),"%"))
print(paste("Pourcentage de 35_plus AVC : " ,round(bmiQ_35_plus_avc,2),"%"))

# plot hist par classe d'imc
ggplot(bmiQ, aes(x = Classe_IMC, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") + 
        ggtitle("Classe de niveau d'IMC en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)
```


## Variable - Fumeur
```{r}
# Variable - Fumeur
# dataframe de Fumeur en fonction d'avc
fumeur <- as.data.frame(table(data_format$smoking_status, data_format$stroke))
colnames(fumeur) <- c('Statut_fumeur','AVC','Fréquence')
head(fumeur)

# calcul pourcentage avc par Fumeur
ancien_fumeur_avc <- (fumeur$Fréquence[fumeur$Statut_fumeur =="formerly" & fumeur$AVC == "avcP"] / sum(fumeur$Fréquence[fumeur$Statut_fumeur =="formerly"]))*100
non_fumeur_avc <- (fumeur$Fréquence[fumeur$Statut_fumeur =="never" & fumeur$AVC == "avcP"] / sum(fumeur$Fréquence[fumeur$Statut_fumeur =="never"]))*100
fumeur_avc <- (fumeur$Fréquence[fumeur$Statut_fumeur =="smokes" & fumeur$AVC == "avcP"] / sum(fumeur$Fréquence[fumeur$Statut_fumeur =="smokes"]))*100
print(paste("Pourcentage de ancien fumeur AVC : " ,round(ancien_fumeur_avc,2),"%"))
print(paste("Pourcentage de non fumeur AVC : " ,round(non_fumeur_avc,2),"%"))
print(paste("Pourcentage de fumeur AVC : " ,round(fumeur_avc,2),"%"))

# plot hist Fumeur
ggplot(fumeur, aes(x = Statut_fumeur, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Statut fumeur en fonction des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))+
        geom_text(aes(label = Fréquence), vjust = 0)
```


## Variable - AVC
```{r}
# Variable - AVC
# dataframe de AVC
avc <- as.data.frame(table( data_format$stroke))
colnames(avc) <- c('AVC','Fréquence')
head(avc)

# plot hist genre
ggplot(avc, aes(x = AVC, y = Fréquence, fill = AVC)) +
        geom_bar(stat = "identity") +
        ggtitle("Nombre d'AVC du jeu de donnée") + theme(plot.title = element_text(hjust = 0.5), legend.position="none")+
        geom_text(aes(label = Fréquence), vjust = 0)
```


## Corrélation
```{r}
# garde attr quanti
data_cor<- select(data_format,age,avg_glucose_level,bmi)
# calcul corrélation
M<-cor(data_cor)
# plot corrélation
corrplot(M, method="circle")
corrplot(M, method="color")
corrplot(M, method="number")
```


## Variables - Corrélation
```{r}
# plot IMC en fonction de age
ggplot(data_format, aes(x = age, y = bmi, colour = stroke)) + 
  geom_point(alpha=0.5)+
  ggtitle("IMC en fonction de l'âge et des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

# plot niveau de glucose en fonction de age
ggplot(data_format, aes(x = age, y = avg_glucose_level, colour = stroke)) + 
  geom_point(alpha=0.5)+
  ggtitle("Niveau de glucose en fonction de l'âge et des chances de faire un AVC") + theme(plot.title = element_text(hjust = 0.5))

```


## Analyses avec la variable cible AVC.

Entre AVC et les variables quantitatives.
```{r}
# avec age
var.test(age~stroke,data=data_format) # sous reserve d'hypothese de normalite des distributions des ages selon absence/presence d'AVC
t.test(age~stroke,var.equal=T,data=data_format)
# difference signifcative ### => le risque augmente avec l'age

# avec NivGluc
var.test(avg_glucose_level~stroke,data=data_format) 
t.test(avg_glucose_level~stroke,var.equal=T,data=data_format)
# difference signifcative ####  => le risque augmente avec le niveau de glucose

# avec IMC
var.test(bmi~stroke,data=data_format) 
t.test(bmi~stroke,var.equal=T,data=data_format)
# difference non signifcative (discutable)  => le risque n'augmente pas significativement avec l'IMC
```

Entre stroke et les variables qualitatives.
```{r}
# Genre
t <- chisq.test(data_format$gender,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals #===> les hommes ont plus de chance de faire un AVC que les femmes

# Maladie cardiaque
t <- chisq.test(data_format$heart_disease,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les maladies cardiaques ont plus de chance d'etre associees avec la survenue d'un AVC

# Mariage
t <- chisq.test(data_format$ever_married,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # => les personnes ayant deja ete mariees ont plus de chance de faire un AVC

# Travail
t <- chisq.test(data_format$work_type,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # => les personnes self_employed ont plus de chance de faire un AVC

# Residence
t <- chisq.test(data_format$Residence_type,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals #==> les personnes vivant en milieu urbain ont plus de chance de faire un AVC

# Fumeur
t <- chisq.test(data_format$smoking_status,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les personnes ayant deja fume ont plus de chance de faire un AVC

# age
t <- chisq.test(data_format$ageQ,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les personnes de plus de 65 ans ont plus de chance de faire un AVC

# glucose
t <- chisq.test(data_format$glucoseQ,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les personnes ayant un niveau de glucose supérieur a 127 ont plus de chance de faire un AVC

# bmi
t <- chisq.test(data_format$bmiQ,data_format$stroke) #rejet de l'hypothese d'independance
t$residuals # les personnes ayant un imc entre 30 et 35 ont plus de chance de faire un AVC
```
## Variables - Pourcentage AVC 
```{r}
Attribut <- c("Genre : femme","Genre : homme",
             "Hypertension : sans","Hypertension : avec",
             "Maladie cardiaque : sans","Maladie cardiaque : avec",
             "Statut matrimonial : jamais","Statut matrimonial : deja",
             "Type job : job gvt", "Type job : sans travail", "Type job : job prive","Type job : independant",
             "Type résidence : rural","Type résidence : urbain",
             "Statut fumeur :ancien fumeur","Statut fumeur : non fumeur","Statu fumeur : fumeur",
             "Classe age : 0 30","Classe age : 31 50","Classe age : 51 65","Classe age : 66 plus",
             "Classe glucose : 0 69","Classe glucose : 70 100","Classe glucose : 101 126","Classe glucose : 127 plus",
             "Classe IMC : 0 25","Classe IMC : 25 30","Classe IMC : 30 35","Classe IMC : 35 plus")
Pourcantage_avc <- c(round(femme_avc,2),round(homme_avc,2),
                     round(hypertention0_avc,2),round(hypertention1_avc,2),
                     round(maladie_cardiaque0,2),round(maladie_cardiaque1,2),
                     round(mariage_no,2),round(mariage_yes,2),
                     round(gouvernement_job_avc,2),round(pas_travail_avc,2),round(prive_avc,2),round(independant_avc,2),
                     round(rural_avc,2),round(urbain_avc,2),
                     round(ancien_fumeur_avc,2),round(non_fumeur_avc,2),round(fumeur_avc,2),
                     round(ageQ_0_30_avc,2),round(ageQ_31_50_avc,2),round(ageQ_51_65_avc,2),round(ageQ_66_plus_avc,2),
                     round(glucoseQ_0_69_avc,2),round(glucoseQ_70_100_avc,2),round(glucoseQ_101_126_avc,2),round(glucoseQ_127_plus_avc,2),
                     round(bmiQ_0_25_avc,2),round(bmiQ_25_30_avc,2),round(bmiQ_30_35_avc,2),round(bmiQ_35_plus_avc,2)
            )


attribut_pourcentage <- data.frame(Attribut, Pourcantage_avc)
attribut_pourcentage
write.csv(attribut_pourcentage,"./attribut_pourcentage.csv", row.names = FALSE)
```

# ANALYSE MULTIVARIEE

```{r}
# selection des seules variables qualitatives pour l'AFCM
avcQ = data_format[,-c(2,8,9)]
summary(avcQ)
```
```{r}
quali <- avcQ[,-8]
var_sup <- avcQ[,c("stroke")]
acm <- dudi.acm(quali, scannf = FALSE, nf = 5)
acm$supv <- supcol(acm, dudi.acm(var_sup, scannf = FALSE, nf = 5)$tab)
#explor(acm)
```

Creation d'une variable motivée par l'étude exploratoire descriptive
```{r}
# creation de la variable interaction entre age et hypertension
AgeHypertension=avcQ$ageQ:avcQ$hypertension
table(AgeHypertension,avcQ[,"stroke"])

# test de dependence avec la variable cible
t <- chisq.test(AgeHypertension,avcQ$stroke)
t$residuals

#avcQ2=data.frame(avcQ,"AgeHypertension"=AgeHypertension)
#summary(avcQ2)
#quali2 <- avcQ2[,-c(1,9,10)]
#var_sup2 <- avcQ2[,c("ageQ","stroke","hypertension")]
#acm2 <- dudi.acm(quali2, scannf = FALSE, nf = 5)
#acm2$supv <- supcol(acm2, dudi.acm(var_sup2, scannf = FALSE, nf = 5)$tab)

#explor(acm2)
```

# Equilibrage du jeu de données

```{r}
imbalanceRatio(as.data.frame(data_format), classAttr = "stroke")

stroke_test <- data_format %>%
mutate(
    stroke = as.character(stroke),
    across(where(is.factor), as.numeric),
    stroke = factor(stroke)
)

stroke_oversampled <- oversample(as.data.frame(stroke_test), classAttr = "stroke", ratio = 1, method = "MWMOTE")

str(stroke_oversampled)

stroke_oversampled %>%
group_by(stroke) %>%
summarize(n = n()) %>%
mutate(prop = round(n / sum(n), 2))
```

```{r}
for ( i in 1:ncol(data_format)) { 
  if(is.factor(data_format[,i])){
    
    stroke_oversampled[,i] <- factor(as.integer(stroke_oversampled[,i]),labels=c(levels(data_format[,i])))
  }
}
str(stroke_oversampled)
```
```{r}
data_format_undersample <- data_format %>% 
  group_by(stroke) %>% 
  sample_n(180)
table(data_format_undersample$stroke)
```

# Training/Test

```{r}
set.seed(42)
### APPRENTISSAGE SUPERVISE

# objectif double : 
## Prédire efficacement la présence (ou l’absence) d’un AVC (variable ‘stroke’)
## à partir de nouvelles observations sur les variables explicatives

## Comprendre les facteurs influençant la présence d’une maladie coronarienne

# dataset avec meme attr de depart non équilibré
data_format_raw <- data_format[-c(12,13,14)]
# dataset avec meme attr de depart équilibré oversample
data_format_oversample_raw <- stroke_oversampled[-c(12,13,14)]
# data avec que variable qualitatif équilibré oversample
data_format_oversample_quali <- stroke_oversampled[-c(2,8,9)]
# dataset avec meme attr de depart équilibré undersample
data_format_undersample_raw <- data_format_undersample[-c(12,13,14)]


# separation echantillons apprentissage / test dataset non équilibré de départ

df_sampling_index <- createDataPartition(data_format_raw$stroke, times = 1, p = 0.7, list = FALSE)

df_training_unbalanced <- data_format_raw[df_sampling_index, ]
df_testing_unbalanced <-  data_format_raw[-df_sampling_index, ]

# separation echantillons apprentissage / test dataset équilibré de depart oversample

df_sampling_index <- createDataPartition(data_format_oversample_raw$stroke, times = 1, p = 0.7, list = FALSE)

df_training_over <- data_format_oversample_raw[df_sampling_index, ]
df_testing_over <-  data_format_oversample_raw[-df_sampling_index, ]

# separation echantillons apprentissage / test dataset équilibré variable qualitatif oversample

df_sampling_index <- createDataPartition(data_format_oversample_quali$stroke, times = 1, p = 0.7, list = FALSE)

df_training_over_quali <- data_format_oversample_quali[df_sampling_index, ]
df_testing_over_quali <-  data_format_oversample_quali[-df_sampling_index, ]


# separation echantillons apprentissage / test dataset équilibré de depart undersample

df_sampling_index <- createDataPartition(data_format_undersample_raw$stroke, times = 1, p = 0.7, list = FALSE)

df_training_under <- data_format_undersample_raw[df_sampling_index, ]
df_testing_under <-  data_format_undersample_raw[-df_sampling_index, ]


### PHASE D APRENTISSAGE

## 1) On lance les algorithmes avec les parametres par defaut
## 2) On optimise les parametres de complexite par CV V-5

### on definit le cadre general de l'optimisation des parametres de complexite dans la fonction trainControl (a utiliser dans la fonciton train du package caret)
df_control <- trainControl(method="cv", #validation croisee
                           number = 5,  # 5 folds (selon le nombre de donnees on peut mettre plus)
                           classProbs = TRUE,
                           summaryFunction = twoClassSummary) # on est dans un cas de classification binaire

```

# Comparaison dataset
## dataset de départ
```{r}
print("SVM")
# apprentissage
model_svm_unbalanced=svm(stroke~., data=df_training_unbalanced, cost=0.5, kernel="linear")     

# prediction 
prediction_svm_unbalanced <- predict(model_svm_unbalanced, df_testing_unbalanced)

# matrice de confusion
matconfus_svm_unbalanced <- table(prediction_svm_unbalanced, df_testing_unbalanced$stroke)
matconfus_svm_unbalanced

# calcul de l'erreur de prediction
err_svm_unbalanced <- 1-(sum(diag(matconfus_svm_unbalanced)) / sum(matconfus_svm_unbalanced))
err_svm_unbalanced*100

# kappa / sensibilité / spécificité
kappa_svm_unbalanced <- CohenKappa(matconfus_svm_unbalanced)
sensitivity_svm_unbalanced <- sensitivity(prediction_svm_unbalanced, df_testing_unbalanced$stroke)
specificity_svm_unbalanced <- specificity(prediction_svm_unbalanced, df_testing_unbalanced$stroke)

print("Random forest")
# apprentissage
model_rf_unbalanced <- train(stroke ~., 
                data = df_training_unbalanced, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

# prediction 
prediction_rf_unbalanced <- predict(model_rf_unbalanced, df_testing_unbalanced)

# matrice de confusion
matconfus_rf_unbalanced <- table(prediction_rf_unbalanced, df_testing_unbalanced$stroke)
matconfus_rf_unbalanced

# calcul de l'erreur de prediction
err_rf_unbalanced <- 1-(sum(diag(matconfus_rf_unbalanced)) / sum(matconfus_rf_unbalanced))
err_rf_unbalanced*100

# kappa / sensibilité / spécificité
kappa_rf_unbalanced <- CohenKappa(matconfus_rf_unbalanced)
sensitivity_rf_unbalanced <- sensitivity(prediction_rf_unbalanced, df_testing_unbalanced$stroke)
specificity_rf_unbalanced <- specificity(prediction_rf_unbalanced, df_testing_unbalanced$stroke)
```

## dataset de départ avec oversample
```{r}
print("SVM")
# apprentissage
model_svm_over=svm(stroke~., data=df_training_over, cost=0.5, kernel="linear")     

# prediction 
prediction_svm_over <- predict(model_svm_over, df_testing_over)

# matrice de confusion
matconfus_svm_over <- table(prediction_svm_over, df_testing_over$stroke)
matconfus_svm_over

# calcul de l'erreur de prediction
err_svm_over <- 1-(sum(diag(matconfus_svm_over)) / sum(matconfus_svm_over))
err_svm_over*100

# kappa / sensibilité / spécificité
kappa_svm_over <- CohenKappa(matconfus_svm_over)
sensitivity_svm_over <- sensitivity(prediction_svm_over, df_testing_over$stroke)
specificity_svm_over <- specificity(prediction_svm_over, df_testing_over$stroke)

print("Random forest")
# apprentissage
model_rf_over <- train(stroke ~., 
                data = df_training_over, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

# prediction 
prediction_rf_over <- predict(model_rf_over, df_testing_over)

# matrice de confusion
matconfus_rf_over <- table(prediction_rf_over, df_testing_over$stroke)
matconfus_rf_over

# calcul de l'erreur de prediction
err_rf_over <- 1-(sum(diag(matconfus_rf_over)) / sum(matconfus_rf_over))
err_rf_over*100

# kappa / sensibilité / spécificité
kappa_rf_over <- CohenKappa(matconfus_rf_over)
sensitivity_rf_over <- sensitivity(prediction_rf_over, df_testing_over$stroke)
specificity_rf_over <- specificity(prediction_rf_over, df_testing_over$stroke)
```

## dataset avec variables qualitatives et oversample
```{r}
print("SVM")
# apprentissage
model_svm_over_quali=svm(stroke~., data=df_training_over_quali, cost=0.5, kernel="linear")     

# prediction 
prediction_svm_over_quali <- predict(model_svm_over_quali, df_testing_over_quali)

# matrice de confusion
matconfus_svm_over_quali <- table(prediction_svm_over_quali, df_testing_over_quali$stroke)
matconfus_svm_over_quali

# calcul de l'erreur de prediction
err_svm_over_quali <- 1-(sum(diag(matconfus_svm_over_quali)) / sum(matconfus_svm_over_quali))
err_svm_over_quali*100

# kappa / sensibilité / spécificité
kappa_svm_over_quali <- CohenKappa(matconfus_svm_over_quali)
sensitivity_svm_over_quali <- sensitivity(prediction_svm_over_quali, df_testing_over_quali$stroke)
specificity_svm_over_quali <- specificity(prediction_svm_over_quali, df_testing_over_quali$stroke)

print("Random forest")
# apprentissage
model_rf_over_quali <- train(stroke ~., 
                data = df_training_over_quali, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

# prediction 
prediction_rf_over_quali <- predict(model_rf_over_quali, df_testing_over_quali)

# matrice de confusion
matconfus_rf_over_quali <- table(prediction_rf_over_quali, df_testing_over_quali$stroke)
matconfus_rf_over_quali

# calcul de l'erreur de prediction
err_rf_over_quali <- 1-(sum(diag(matconfus_rf_over_quali)) / sum(matconfus_rf_over_quali))
err_rf_over_quali*100

# kappa / sensibilité / spécificité
kappa_rf_over_quali <- CohenKappa(matconfus_rf_over_quali)
sensitivity_rf_over_quali <- sensitivity(prediction_rf_over_quali, df_testing_over_quali$stroke)
specificity_rf_over_quali <- specificity(prediction_rf_over_quali, df_testing_over_quali$stroke)
```

## dataset avec variables départ et undersample
```{r}
print("SVM")
# apprentissage
model_svm_under=svm(stroke~., data=df_training_under, cost=0.5, kernel="linear")     

# prediction 
prediction_svm_under <- predict(model_svm_under, df_testing_under)

# matrice de confusion
matconfus_svm_under <- table(prediction_svm_under, df_testing_under$stroke)
matconfus_svm_under

# calcul de l'erreur de prediction
err_svm_under <- 1-(sum(diag(matconfus_svm_under)) / sum(matconfus_svm_under))
err_svm_under*100

# kappa / sensibilité / spécificité
kappa_svm_under <- CohenKappa(matconfus_svm_under)
sensitivity_svm_under <- sensitivity(prediction_svm_under, df_testing_under$stroke)
specificity_svm_under <- specificity(prediction_svm_under, df_testing_under$stroke)

print("Random forest")
# apprentissage
model_rf_under <- train(stroke ~., 
                data = df_training_under, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

# prediction 
prediction_rf_under <- predict(model_rf_under, df_testing_under)

# matrice de confusion
matconfus_rf_under <- table(prediction_rf_under, df_testing_under$stroke)
matconfus_rf_under

# calcul de l'erreur de prediction
err_rf_under <- 1-(sum(diag(matconfus_rf_under)) / sum(matconfus_rf_under))
err_rf_under*100

# kappa / sensibilité / spécificité
kappa_rf_under <- CohenKappa(matconfus_rf_under)
sensitivity_rf_under <- sensitivity(prediction_rf_under, df_testing_under$stroke)
specificity_rf_under <- specificity(prediction_rf_under, df_testing_under$stroke)
```
## Comparaison des dataset
```{r}
Methode <- c("svm unbalanced","rf unbalanced","svm oversample","rf oversample","svm oversample quali","rf oversample quali","svm undersample","rf undersample")
Erreur <- c(round(err_svm_unbalanced*100,2),
            round(err_rf_unbalanced*100,2),
            round(err_svm_over*100,2),
            round(err_rf_over*100,2),
            round(err_svm_over_quali*100,2),
            round(err_rf_over_quali*100,2),
            round(err_svm_under*100,2),
            round(err_rf_under*100,2)
            )
Kappa <- c(round(kappa_svm_unbalanced,2),
           round(kappa_rf_unbalanced,2),
           round(kappa_svm_over,2),
           round(kappa_rf_over,2),
           round(kappa_svm_over_quali,2),
           round(kappa_rf_over_quali,2),
           round(kappa_svm_under,2),
           round(kappa_rf_under,2)
           )
Sensibilité <- c(round(sensitivity_svm_unbalanced,2),
            round(sensitivity_rf_unbalanced,2),
            round(sensitivity_svm_over,2),
            round(sensitivity_rf_over,2),
            round(sensitivity_svm_over_quali,2),
            round(sensitivity_rf_over_quali,2),
            round(sensitivity_svm_under,2),
            round(sensitivity_rf_under,2)
            )
Specificité <- c(round(specificity_svm_unbalanced,2),
            round(specificity_rf_unbalanced,2),
            round(specificity_svm_over,2),
            round(specificity_rf_over,2),
            round(specificity_svm_over_quali,2),
            round(specificity_rf_over_quali,2),
            round(specificity_svm_under,2),
            round(specificity_rf_under,2)
           )

dataset_compare <- data.frame(Methode, Erreur, Kappa, Sensibilité, Specificité)
dataset_compare
```


# Entrainement des différents modèles
## Regression logistique binaire
### Sans optimisation
```{r}
# apprentissage

model_glm <- glm(stroke ~., data=df_training_over, family=binomial(link="logit")) 
summary(model_glm)

# prediction 
prediction_glm <- predict(model_glm, df_testing_over, type="response")
prediction_glm <- ifelse(prediction_glm<0.5,"avcN","avcP")

# matrice de confusion
matconfus_glm <- table(prediction_glm, df_testing_over$stroke)
matconfus_glm


# calcul de l'erreur de prediction
err_glm <- 1-(sum(diag(matconfus_glm)) / sum(matconfus_glm))
err_glm*100

# kappa / sensibilité / specificté
kappa_glm <- CohenKappa(matconfus_glm)
kappa_glm
sensitivity_glm <- sensitivity(factor(prediction_glm), df_testing_over$stroke)
sensitivity_glm
specificity_glm <- specificity(factor(prediction_glm), df_testing_over$stroke)
specificity_glm
```



### Avec optimisation
```{r}
# apprentissage et tuning
set.seed(42)
model_glm_tuned = train(stroke ~.,
                df_training_over,
                method = "glmStepAIC", ## selection forward par minimisation de l'AIC
                metric="ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

summary(model_glm_tuned$finalModel)

# prediction 
prediction_glm_tuned <- predict(model_glm_tuned, df_testing_over)

# matrice de confusion
matconfus_glm_tuned <- table(prediction_glm_tuned, df_testing_over$stroke)
matconfus_glm_tuned


# calcul de l'erreur de prediction
err_glm_tuned <- 1-(sum(diag(matconfus_glm_tuned)) / sum(matconfus_glm_tuned))
err_glm_tuned*100

# kappa / sensibilité / specificté
kappa_glm_tuned <- CohenKappa(matconfus_glm_tuned)
kappa_glm_tuned
sensitivity_glm_tuned <- sensitivity(prediction_glm_tuned, df_testing_over$stroke)
sensitivity_glm_tuned
specificity_glm_tuned <- specificity(prediction_glm_tuned, df_testing_over$stroke)
specificity_glm_tuned
```


## K-NN
### Sans optimisation
### Avec optimisation
```{r}
# apprentissage et tuning
set.seed(42)
grid <- expand.grid(.k=seq(1,50,by=1))
model_knn_tuned <- train(stroke ~.,
                         data = df_training_over, 
                         method = "knn", 
                         metric = "ROC",
                         preProcess = c('center', 'scale'),
                         tuneGrid= grid,
                         trControl = df_control)

# affichage du modele
model_knn_tuned$finalModel
k = model_knn_tuned$results$k[model_knn_tuned$results$ROC == max(model_knn_tuned$results$ROC)]
ggplot(model_knn_tuned)+geom_vline(xintercept = k,color ='red') # performance metric (ROC) en fonction des valeurs de C (le parametre a optimiser)

# prediction 
prediction_knn_tuned <- predict(model_knn_tuned, df_testing_over,type="prob")
prediction_knn_tuned <- predict(model_knn_tuned, df_testing_over)#,type="prob")

# matrice de confusion
matconfus_knn_tuned <- table(prediction_knn_tuned, df_testing_over$stroke)
matconfus_knn_tuned

# calcul de l'erreur de prediction
err_knn_tuned <- 1-(sum(diag(matconfus_knn_tuned)) / sum(matconfus_knn_tuned))
err_knn_tuned*100

# kappa / sensibilité / specificté
kappa_knn_tuned <- CohenKappa(matconfus_knn_tuned)
kappa_knn_tuned
sensitivity_knn_tuned <- sensitivity(prediction_knn_tuned, df_testing_over$stroke)
sensitivity_knn_tuned
specificity_knn_tuned <- specificity(prediction_knn_tuned, df_testing_over$stroke)
specificity_knn_tuned
```


Nombre de cluster opt
```{r}
k
```
## SVM
### Sans optimisation

```{r}
# apprentissage
model_svm=svm(stroke~., data=df_training_over, cost=0.5, kernel="linear")     

# prediction 
prediction_svm <- predict(model_svm, df_testing_over)

# matrice de confusion
matconfus_svm <- table(prediction_svm, df_testing_over$stroke)
matconfus_svm

# calcul de l'erreur de prediction
err_svm <- 1-(sum(diag(matconfus_svm)) / sum(matconfus_svm))
err_svm*100

# kappa / sensibilité / specificté
kappa_svm <- CohenKappa(matconfus_svm)
kappa_svm
sensitivity_svm <- sensitivity(prediction_svm, df_testing_over$stroke)
sensitivity_svm
specificity_svm <- specificity(prediction_svm, df_testing_over$stroke)
specificity_svm
```

### Avec optimisation
```{r}
# apprentissage et tuning
grid <- expand.grid(C=seq(0.01,1,0.03))  
model_svm_tuned <- train(stroke ~., data = df_training_over, 
                method = "svmLinear", 
                metric = "ROC", 
                preProcess = c("scale", "center"), 
                tuneGrid= grid,
                trControl = df_control)

# affichage du modele
model_svm_tuned$finalModel
c = model_svm_tuned$results$C[model_svm_tuned$results$ROC == max(model_svm_tuned$results$ROC)]
ggplot(model_svm_tuned)+geom_vline(xintercept = c,color ='red')

# prediction 
prediction_svm_tuned <- predict(model_svm_tuned, df_testing_over)

# matrice de confusion
matconfus_svm_tuned <- table(prediction_svm_tuned, df_testing_over$stroke)
matconfus_svm_tuned

# calcul de l'erreur de prediction
err_svm_tuned <- 1-(sum(diag(matconfus_svm_tuned)) / sum(matconfus_svm_tuned))
err_svm_tuned*100

# kappa / sensibilité / specificté
kappa_svm_tuned <- CohenKappa(matconfus_svm_tuned)
kappa_svm_tuned
sensitivity_svm_tuned <- sensitivity(prediction_svm_tuned, df_testing_over$stroke)
sensitivity_svm_tuned
specificity_svm_tuned <- specificity(prediction_svm_tuned, df_testing_over$stroke)
specificity_svm_tuned
```
Coût
```{r}
c
```
## Arbre de décision
### Sans optimisation
```{r}

# apprentissage
tree <- rpart(stroke ~.,data=df_training_over, method="class",
              control=rpart.control(minsplit=1,cp=0,xval=10))

# affichage du modele
plot(tree)
text(tree, use.n.=TRUE, all=TRUE, cex=.8)

# prediction 
prediction_tree <- predict(tree, df_testing_over, type="class")

# matrice de confusion
matconfus_tree <- table(prediction_tree, df_testing_over$stroke)
matconfus_tree

# calcul de l'erreur de prediction
err_tree <- 1-(sum(diag(matconfus_tree)) / sum(matconfus_tree))
err_tree*100

# kappa / sensibilité / specificté
kappa_tree <- CohenKappa(matconfus_tree)
kappa_tree
sensitivity_tree <- sensitivity(prediction_tree, df_testing_over$stroke)
sensitivity_tree
specificity_tree <- specificity(prediction_tree, df_testing_over$stroke)
specificity_tree
```

### Avec optimisation
```{r}
# apprentissage et tuning

grid <- expand.grid(cp=seq(0.01,1,0.01)) 
model_tree_tuned = train(stroke ~., 
                  data=df_training_over, 
                  method="rpart", 
                  metric = "ROC",
                  preProcess = c("scale", "center"), 
                  tuneGrid= grid,
                  trControl = df_control)

# affichage du modele
model_tree_tuned$finalModel
summary(model_tree_tuned$finalModel)

plot(model_tree_tuned$finalModel, uniform=TRUE, main="Pruned Classification Tree")

text(model_tree_tuned$finalModel, use.n.=TRUE, all=TRUE, cex=.8)

# prediction 
prediction_tree_tuned <- predict(model_tree_tuned,  df_testing_over)

# matrice de confusion
matconfus_tree_tuned <- table(prediction_tree_tuned, df_testing_over$stroke)
matconfus_tree_tuned

# calcul de l'erreur de prediction
err_tree_tuned <- 1-(sum(diag(matconfus_tree_tuned)) / sum(matconfus_tree_tuned))
err_tree_tuned*100

# kappa / sensibilité / specificté
kappa_tree_tuned <- CohenKappa(matconfus_tree_tuned)
kappa_tree_tuned
sensitivity_tree_tuned <- sensitivity(prediction_tree_tuned, df_testing_over$stroke)
sensitivity_tree_tuned
specificity_tree_tuned <- specificity(prediction_tree_tuned, df_testing_over$stroke)
specificity_tree_tuned
```


## Forêt aléatoire
### Sans optimisation

```{r}
# apprentissage
model_rf <- train(stroke ~., 
                data = df_training_over, 
                method = "rf", 
                metric = "ROC",
                preProcess = c("scale", "center"),
                trControl = df_control)

model_rf$finalModel

# prediction 
prediction_rf <- predict(model_rf, df_testing_over)

# matrice de confusion
matconfus_rf <- table(prediction_rf, df_testing_over$stroke)
matconfus_rf

# calcul de l'erreur de prediction
err_rf <- 1-(sum(diag(matconfus_rf)) / sum(matconfus_rf))
err_rf*100

# kappa / sensibilité / specificté
kappa_rf <- CohenKappa(matconfus_rf)
kappa_rf
sensitivity_rf <- sensitivity(prediction_rf, df_testing_over$stroke)
sensitivity_rf
specificity_rf <- specificity(prediction_rf, df_testing_over$stroke)
specificity_rf
```

### Avec optimisation
```{r}
# apprentissage et tuning
grid <- expand.grid(mtry=2:10)

model_rf_tuned <- train(stroke ~., 
                data = df_training_over, 
                method = "rf", 
                metric = "ROC",
                tuneGrid= grid,
                preProcess = c("scale", "center"),
                trControl = df_control)

# affichage du modele
plot(model_rf_tuned)
plot(model_rf_tuned$finalModel)

model_rf_tuned$finalModel
varImpPlot(model_rf_tuned$finalModel, sort = TRUE, n.var = 13, main = "Variables importance")

# prediction
prediction_rf_tuned <- predict(model_rf_tuned, df_testing_over)

# matrice de confusion
matconfus_rf_tuned <- table(prediction_rf_tuned, df_testing_over$stroke)
matconfus_rf_tuned

# calcul de l'erreur de prediction
err_rf_tuned <- 1-(sum(diag(matconfus_rf_tuned)) / sum(matconfus_rf_tuned))
err_rf_tuned*100

# kappa / sensibilité / specificté
kappa_rf_tuned <- CohenKappa(matconfus_rf_tuned)
kappa_rf_tuned
sensitivity_rf_tuned <- sensitivity(prediction_rf_tuned, df_testing_over$stroke)
sensitivity_rf_tuned
specificity_rf_tuned <- specificity(prediction_rf_tuned, df_testing_over$stroke)
specificity_rf_tuned
```


# Comparaison des différents modèles

```{r}

### les courbes ROC des 5 méthodes

# glm
pr_glm = prediction(as.numeric(prediction_glm_tuned), as.numeric(df_testing_over$stroke))
prf_glm = performance(pr_glm, measure = "tpr", x.measure = "fpr")
plot(prf_glm)

# knn
pr_knn = prediction(as.numeric(prediction_knn_tuned), as.numeric(df_testing_over$stroke))
prf_knn = performance(pr_knn, measure = "tpr", x.measure = "fpr")
plot(prf_knn, col="red", add=TRUE)

# tree
pr_tree = prediction(as.numeric(prediction_tree_tuned), as.numeric(df_testing_over$stroke))
prf_tree = performance(pr_tree, measure = "tpr", x.measure = "fpr")
plot(prf_tree, col="purple",add=TRUE)

# rf
pr_rf = prediction(as.numeric(prediction_rf_tuned), as.numeric(df_testing_over$stroke))
prf_rf = performance(pr_rf, measure = "tpr", x.measure = "fpr")
plot(prf_rf, col="green", add=TRUE)

# svm
pr_svm = prediction(as.numeric(prediction_svm_tuned), as.numeric(df_testing_over$stroke))
prf_svm = performance(pr_svm, measure = "tpr", x.measure = "fpr")
plot(prf_svm, col="blue", add=TRUE)


legend("bottomright", inset = 0.1, legend = c("glm", "knn", "tree", "rf", "svm"), lty = 1,
       col = c("black", "red", "purple","green","blue"))


### les AUC pour les 5 methodes

# glm
auc_glm = performance(pr_glm, measure = "auc")
auc_glm = auc_glm@y.values[[1]]

# knn
auc_knn = performance(pr_knn, measure = "auc")
auc_knn = auc_knn@y.values[[1]]


# tree
auc_tree = performance(pr_tree, measure = "auc")
auc_tree = auc_tree@y.values[[1]]

# rf
auc_rf = performance(pr_rf, measure = "auc")
auc_rf = auc_rf@y.values[[1]]

# svm
auc_svm = performance(pr_svm, measure = "auc")
auc_svm = auc_svm@y.values[[1]]
```

```{r}
Methode <- c("glm","glm_tuned","knn_tuned","svm","svm_tuned","tree","tree_tuned","rf","rf_tuned")
Erreur <- c(round(err_glm*100,2),
            round(err_glm_tuned*100,2),
            round(err_knn_tuned*100,2),
            round(err_svm*100,2),
            round(err_svm_tuned*100,2),
            round(err_tree*100,2),
            round(err_tree_tuned*100,2),
            round(err_rf*100,2),
            round(err_rf_tuned*100,2)
            )
Kappa <- c(round(kappa_glm,2),
           round(kappa_glm_tuned,2),
           round(kappa_knn_tuned,2),
           round(kappa_svm,2),
           round(kappa_svm_tuned,2),
           round(kappa_tree,2),
           round(kappa_tree_tuned,2),
           round(kappa_rf,2),
           round(kappa_rf_tuned,2)
           )
Sensibilité <- c(round(sensitivity_glm,2),
            round(sensitivity_glm_tuned,2),
            round(sensitivity_knn_tuned,2),
            round(sensitivity_svm,2),
            round(sensitivity_svm_tuned,2),
            round(sensitivity_tree,2),
            round(sensitivity_tree_tuned,2),
            round(sensitivity_rf,2),
            round(sensitivity_rf_tuned,2)
            )
Specificité <- c(round(specificity_glm,2),
            round(specificity_glm_tuned,2),
            round(specificity_knn_tuned,2),
            round(specificity_svm,2),
            round(specificity_svm_tuned,2),
            round(specificity_tree,2),
            round(specificity_tree_tuned,2),
            round(specificity_rf,2),
            round(specificity_rf_tuned,2)
           )
AUC <- c("x",
            round(auc_glm,2),
            round(auc_knn,2),
            "x",
            round(auc_svm,2),
            "x",
            round(auc_tree,2),
            "x",
            round(auc_rf,2)
           )

modele_compare <- data.frame(Methode, Erreur,Kappa, Sensibilité, Specificité, AUC)
modele_compare
```

```{r}
model_list <- list(logistic = model_glm_tuned,
                   knn=model_knn_tuned,
                   rf = model_rf_tuned, 
                   svm = model_svm_tuned,  
                   tree = model_tree_tuned)
results <- resamples(model_list)

summary(results)
bwplot(results)
bwplot(results, metric = "ROC")
bwplot(results, metric = "Spec")
bwplot(results, metric = "Sens")
```

